"increase far more" is correct and usable in written English.
You can use it to describe a situation in which something increases a lot. For example: "Sales have increased far more than expected this year."
More generally, modernity has wrought changes to which we are not yet adequately adapted; depression appears to increase far more rapidly in technological cultures than in others.
The GOP Medicare subsidy would increase far more slowly than the actual cost of healthcare: the Congressional Budget Office estimates that by 2030, 65 year olds would pay an average of 68% of their medical costs, up from 25% today.
In the year before state lawmakers approved a huge increase in health care spending, the powerful hospital workers' union and allied hospitals spent almost $4 million lobbying for that increase, far more than any other interest group spent to influence the state.
Global energy consumption is expected to rise 56% by 2040 with a changing composition of energy sources, with China and India driving the rate increase far more than the rest of the world.
Those figures worry some federal policymakers and student debt experts, who expected enrollment in the debt-relief programs to increase far more than it did after the White House prioritized them in June 2012, in the midst of the presidential campaign.
Therefore, the number of cases exported from a local influenza epidemic will increase far more rapidly than those from a SARS epidemic.
In the last two years, trading volume in response to Greenspan events has increased far more sharply even than volume in general.
Generally, administrative salaries at colleges and universities have been increasing far more quickly than pay for faculty members.
An assistant finance commissioner, Sam Miller, said taxes increased far more slowly than market values because of state-mandated assessment caps SEWELL CHAN (NYT).
As states have steadily reduced their support for public higher education, tuition and fees have increased far more rapidly than the rate of inflation.
Average premiums paid by workers for employer-sponsored health insurance have increased far more — well over 20 percent since 2008, according to the Kaiser Family Foundation.
