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Finding the Fourth Proportional to 460,759.58, 635,851.19 and 256,823.45

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Solution

The fourth proportional to 460,759.58, 635,851.19 and 256,823.45 is: 354,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,759.58 : 635,851.19 = 256,823.45 : x
  2. Step 2: Convert to fraction form
    460,759.58/635,851.19 = 256,823.45/x
  3. Step 3: Cross multiply
    460,759.58x = 635,851.19 × 256,823.45
  4. Step 4: Simplify right side
    460,759.58x = 163,301,498,534.09
  5. Step 5: Solve for x
    x = 163,301,498,534.09/460,759.58
  6. Step 6: Final answer
    x = 354,418.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.