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Finding the Fourth Proportional to 396,846.36, 547,493.64 and 224,724.78

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Solution

The fourth proportional to 396,846.36, 547,493.64 and 224,724.78 is: 310,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,846.36 : 547,493.64 = 224,724.78 : x
  2. Step 2: Convert to fraction form
    396,846.36/547,493.64 = 224,724.78/x
  3. Step 3: Cross multiply
    396,846.36x = 547,493.64 × 224,724.78
  4. Step 4: Simplify right side
    396,846.36x = 123,035,387,800.40
  5. Step 5: Solve for x
    x = 123,035,387,800.40/396,846.36
  6. Step 6: Final answer
    x = 310,032.80

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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.