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Finding the Fourth Proportional to 527,029.60, 727,294.80 and 285,306.85

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Solution

The fourth proportional to 527,029.60, 727,294.80 and 285,306.85 is: 393,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,029.60 : 727,294.80 = 285,306.85 : x
  2. Step 2: Convert to fraction form
    527,029.60/727,294.80 = 285,306.85/x
  3. Step 3: Cross multiply
    527,029.60x = 727,294.80 × 285,306.85
  4. Step 4: Simplify right side
    527,029.60x = 207,502,188,409.38
  5. Step 5: Solve for x
    x = 207,502,188,409.38/527,029.60
  6. Step 6: Final answer
    x = 393,720.18

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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.