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Finding the Fourth Proportional to 360,959.42, 497,906.07 and 231,854.43

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Solution

The fourth proportional to 360,959.42, 497,906.07 and 231,854.43 is: 319,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,959.42 : 497,906.07 = 231,854.43 : x
  2. Step 2: Convert to fraction form
    360,959.42/497,906.07 = 231,854.43/x
  3. Step 3: Cross multiply
    360,959.42x = 497,906.07 × 231,854.43
  4. Step 4: Simplify right side
    360,959.42x = 115,441,728,053.39
  5. Step 5: Solve for x
    x = 115,441,728,053.39/360,959.42
  6. Step 6: Final answer
    x = 319,819.13

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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.