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Finding the Fourth Proportional to 527,428.89, 727,848.95 and 285,716.18

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Solution

The fourth proportional to 527,428.89, 727,848.95 and 285,716.18 is: 394,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,428.89 : 727,848.95 = 285,716.18 : x
  2. Step 2: Convert to fraction form
    527,428.89/727,848.95 = 285,716.18/x
  3. Step 3: Cross multiply
    527,428.89x = 727,848.95 × 285,716.18
  4. Step 4: Simplify right side
    527,428.89x = 207,958,222,002.05
  5. Step 5: Solve for x
    x = 207,958,222,002.05/527,428.89
  6. Step 6: Final answer
    x = 394,286.75

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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.