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Finding the Fourth Proportional to 396,327.32, 546,914.40 and 226,572.38

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Solution

The fourth proportional to 396,327.32, 546,914.40 and 226,572.38 is: 312,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,327.32 : 546,914.40 = 226,572.38 : x
  2. Step 2: Convert to fraction form
    396,327.32/546,914.40 = 226,572.38/x
  3. Step 3: Cross multiply
    396,327.32x = 546,914.40 × 226,572.38
  4. Step 4: Simplify right side
    396,327.32x = 123,915,697,264.27
  5. Step 5: Solve for x
    x = 123,915,697,264.27/396,327.32
  6. Step 6: Final answer
    x = 312,659.99

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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.