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The phrase "increase fourfold" is correct and usable in written English.
You can use it to refer to a situation where something has increased by a factor of four. For example, "The number of people using the new app increased fourfold in just a week."
Exact(27)
This has enabled operators to increase fourfold the amount of money they return to government".
And the land devoted to biofuels is projected to increase fourfold by 2030.
Cotton and wheat production will increase fourfold, gas exports fivefold and oil output at least sevenfold.
There, under questioning from Mr. Main, a mine-safety administration official conceded that the proposal could allow dust to increase fourfold.
That will increase fourfold the number of flash memory megabytes produced, said Curt Nichols, general manager of Intel's flash products group.
Spending on health care would increase fourfold in the next financial year and spending on education would double, he said.
Similar(30)
Scratching increased fourfold.
Last year, revenue increased fourfold, Mr. Bankoff said.
In the last half year, its projected budget shortfall has increased fourfold.
Letter mail has increased fourfold since the late 1940s.
Gradually, the number of agents employed by the Border Patrol has increased fourfold since the early nineties.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com