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Finding the Fourth Proportional to 398,456.38, 597,508.69 and 114,082.39

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Solution

The fourth proportional to 398,456.38, 597,508.69 and 114,082.39 is: 171,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,456.38 : 597,508.69 = 114,082.39 : x
  2. Step 2: Convert to fraction form
    398,456.38/597,508.69 = 114,082.39/x
  3. Step 3: Cross multiply
    398,456.38x = 597,508.69 × 114,082.39
  4. Step 4: Simplify right side
    398,456.38x = 68,165,217,621.99
  5. Step 5: Solve for x
    x = 68,165,217,621.99/398,456.38
  6. Step 6: Final answer
    x = 171,073.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.