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Finding the Fourth Proportional to 534,908.31, 738,249.05 and 331,024.86

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Solution

The fourth proportional to 534,908.31, 738,249.05 and 331,024.86 is: 456,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,908.31 : 738,249.05 = 331,024.86 : x
  2. Step 2: Convert to fraction form
    534,908.31/738,249.05 = 331,024.86/x
  3. Step 3: Cross multiply
    534,908.31x = 738,249.05 × 331,024.86
  4. Step 4: Simplify right side
    534,908.31x = 244,378,789,248.95
  5. Step 5: Solve for x
    x = 244,378,789,248.95/534,908.31
  6. Step 6: Final answer
    x = 456,861.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.