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Finding the Fourth Proportional to 527,306.96, 727,747.54 and 297,873.92

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Solution

The fourth proportional to 527,306.96, 727,747.54 and 297,873.92 is: 411,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,306.96 : 727,747.54 = 297,873.92 : x
  2. Step 2: Convert to fraction form
    527,306.96/727,747.54 = 297,873.92/x
  3. Step 3: Cross multiply
    527,306.96x = 727,747.54 × 297,873.92
  4. Step 4: Simplify right side
    527,306.96x = 216,777,012,510.16
  5. Step 5: Solve for x
    x = 216,777,012,510.16/527,306.96
  6. Step 6: Final answer
    x = 411,102.13

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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.