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Finding the Fourth Proportional to 527,233.60, 727,584.45 and 285,516.28

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Solution

The fourth proportional to 527,233.60, 727,584.45 and 285,516.28 is: 394,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,233.60 : 727,584.45 = 285,516.28 : x
  2. Step 2: Convert to fraction form
    527,233.60/727,584.45 = 285,516.28/x
  3. Step 3: Cross multiply
    527,233.60x = 727,584.45 × 285,516.28
  4. Step 4: Simplify right side
    527,233.60x = 207,737,205,549.85
  5. Step 5: Solve for x
    x = 207,737,205,549.85/527,233.60
  6. Step 6: Final answer
    x = 394,013.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.