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Finding the Fourth Proportional to 410,472.76, 566,447.02 and 229,187.78

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Solution

The fourth proportional to 410,472.76, 566,447.02 and 229,187.78 is: 316,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,472.76 : 566,447.02 = 229,187.78 : x
  2. Step 2: Convert to fraction form
    410,472.76/566,447.02 = 229,187.78/x
  3. Step 3: Cross multiply
    410,472.76x = 566,447.02 × 229,187.78
  4. Step 4: Simplify right side
    410,472.76x = 129,822,735,001.42
  5. Step 5: Solve for x
    x = 129,822,735,001.42/410,472.76
  6. Step 6: Final answer
    x = 316,276.13

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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.