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Finding the Fourth Proportional to 527,312.46, 727,687.56 and 285,589.50

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Solution

The fourth proportional to 527,312.46, 727,687.56 and 285,589.50 is: 394,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,312.46 : 727,687.56 = 285,589.50 : x
  2. Step 2: Convert to fraction form
    527,312.46/727,687.56 = 285,589.50/x
  3. Step 3: Cross multiply
    527,312.46x = 727,687.56 × 285,589.50
  4. Step 4: Simplify right side
    527,312.46x = 207,819,926,416.62
  5. Step 5: Solve for x
    x = 207,819,926,416.62/527,312.46
  6. Step 6: Final answer
    x = 394,111.54

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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.