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Finding the Fourth Proportional to 396,847.36, 547,495.02 and 224,725.78

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Solution

The fourth proportional to 396,847.36, 547,495.02 and 224,725.78 is: 310,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,847.36 : 547,495.02 = 224,725.78 : x
  2. Step 2: Convert to fraction form
    396,847.36/547,495.02 = 224,725.78/x
  3. Step 3: Cross multiply
    396,847.36x = 547,495.02 × 224,725.78
  4. Step 4: Simplify right side
    396,847.36x = 123,036,245,415.62
  5. Step 5: Solve for x
    x = 123,036,245,415.62/396,847.36
  6. Step 6: Final answer
    x = 310,034.18

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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.