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Finding the Fourth Proportional to 527,715.78, 728,250.42 and 285,998.34

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Solution

The fourth proportional to 527,715.78, 728,250.42 and 285,998.34 is: 394,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,715.78 : 728,250.42 = 285,998.34 : x
  2. Step 2: Convert to fraction form
    527,715.78/728,250.42 = 285,998.34/x
  3. Step 3: Cross multiply
    527,715.78x = 728,250.42 × 285,998.34
  4. Step 4: Simplify right side
    527,715.78x = 208,278,411,224.30
  5. Step 5: Solve for x
    x = 208,278,411,224.30/527,715.78
  6. Step 6: Final answer
    x = 394,679.14

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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.