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Finding the Fourth Proportional to 322,614.49, 445,219.43 and 177,431.50

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Solution

The fourth proportional to 322,614.49, 445,219.43 and 177,431.50 is: 244,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,614.49 : 445,219.43 = 177,431.50 : x
  2. Step 2: Convert to fraction form
    322,614.49/445,219.43 = 177,431.50/x
  3. Step 3: Cross multiply
    322,614.49x = 445,219.43 × 177,431.50
  4. Step 4: Simplify right side
    322,614.49x = 78,995,951,294.05
  5. Step 5: Solve for x
    x = 78,995,951,294.05/322,614.49
  6. Step 6: Final answer
    x = 244,861.76

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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.