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Finding the Fourth Proportional to 415,010.33, 572,729.63 and 231,265.47

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Solution

The fourth proportional to 415,010.33, 572,729.63 and 231,265.47 is: 319,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,010.33 : 572,729.63 = 231,265.47 : x
  2. Step 2: Convert to fraction form
    415,010.33/572,729.63 = 231,265.47/x
  3. Step 3: Cross multiply
    415,010.33x = 572,729.63 × 231,265.47
  4. Step 4: Simplify right side
    415,010.33x = 132,452,585,908.55
  5. Step 5: Solve for x
    x = 132,452,585,908.55/415,010.33
  6. Step 6: Final answer
    x = 319,154.92

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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.