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Finding the Fourth Proportional to 396,199.92, 546,622.92 and 226,313.76

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Solution

The fourth proportional to 396,199.92, 546,622.92 and 226,313.76 is: 312,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,199.92 : 546,622.92 = 226,313.76 : x
  2. Step 2: Convert to fraction form
    396,199.92/546,622.92 = 226,313.76/x
  3. Step 3: Cross multiply
    396,199.92x = 546,622.92 × 226,313.76
  4. Step 4: Simplify right side
    396,199.92x = 123,708,288,327.38
  5. Step 5: Solve for x
    x = 123,708,288,327.38/396,199.92
  6. Step 6: Final answer
    x = 312,237.04

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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.