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Finding the Fourth Proportional to 396,205.92, 546,631.20 and 226,319.76

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Solution

The fourth proportional to 396,205.92, 546,631.20 and 226,319.76 is: 312,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,205.92 : 546,631.20 = 226,319.76 : x
  2. Step 2: Convert to fraction form
    396,205.92/546,631.20 = 226,319.76/x
  3. Step 3: Cross multiply
    396,205.92x = 546,631.20 × 226,319.76
  4. Step 4: Simplify right side
    396,205.92x = 123,713,441,992.51
  5. Step 5: Solve for x
    x = 123,713,441,992.51/396,205.92
  6. Step 6: Final answer
    x = 312,245.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.