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Finding the Fourth Proportional to 527,517.72, 727,975.22 and 285,800.30

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Solution

The fourth proportional to 527,517.72, 727,975.22 and 285,800.30 is: 394,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,517.72 : 727,975.22 = 285,800.30 : x
  2. Step 2: Convert to fraction form
    527,517.72/727,975.22 = 285,800.30/x
  3. Step 3: Cross multiply
    527,517.72x = 727,975.22 × 285,800.30
  4. Step 4: Simplify right side
    527,517.72x = 208,055,531,199.69
  5. Step 5: Solve for x
    x = 208,055,531,199.69/527,517.72
  6. Step 6: Final answer
    x = 394,404.82

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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.