The problem can be solved by figuring out what "1" represents on the ratio. 350 = 4x+2x+1x (because the problem is asking us to divide it, which means 4x, 2x, and 1x add up to 350).
Then we can divide 350 by 4+2+1 (7) which equals 50.
Each "1" is 50, so now we multiply 4 by 50, 2 by 50, and 1 by 50, which equals to 200:100:50. 200+100+50=350.