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Finding the Fourth Proportional to 396,848.36, 547,496.38 and 224,726.80

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Solution

The fourth proportional to 396,848.36, 547,496.38 and 224,726.80 is: 310,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,848.36 : 547,496.38 = 224,726.80 : x
  2. Step 2: Convert to fraction form
    396,848.36/547,496.38 = 224,726.80/x
  3. Step 3: Cross multiply
    396,848.36x = 547,496.38 × 224,726.80
  4. Step 4: Simplify right side
    396,848.36x = 123,037,109,488.98
  5. Step 5: Solve for x
    x = 123,037,109,488.98/396,848.36
  6. Step 6: Final answer
    x = 310,035.58

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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.