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Finding the Fourth Proportional to 396,932.76, 547,727.68 and 224,816.38

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Solution

The fourth proportional to 396,932.76, 547,727.68 and 224,816.38 is: 310,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,932.76 : 547,727.68 = 224,816.38 : x
  2. Step 2: Convert to fraction form
    396,932.76/547,727.68 = 224,816.38/x
  3. Step 3: Cross multiply
    396,932.76x = 547,727.68 × 224,816.38
  4. Step 4: Simplify right side
    396,932.76x = 123,138,154,243.40
  5. Step 5: Solve for x
    x = 123,138,154,243.40/396,932.76
  6. Step 6: Final answer
    x = 310,224.22

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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.