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Finding the Fourth Proportional to 527,308.96, 727,682.73 and 285,586

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Solution

The fourth proportional to 527,308.96, 727,682.73 and 285,586 is: 394,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,308.96 : 727,682.73 = 285,586 : x
  2. Step 2: Convert to fraction form
    527,308.96/727,682.73 = 285,586/x
  3. Step 3: Cross multiply
    527,308.96x = 727,682.73 × 285,586
  4. Step 4: Simplify right side
    527,308.96x = 207,816,000,129.78
  5. Step 5: Solve for x
    x = 207,816,000,129.78/527,308.96
  6. Step 6: Final answer
    x = 394,106.71

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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.