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Finding the Fourth Proportional to 321,217.65, 443,496.87 and 287,116.85

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Solution

The fourth proportional to 321,217.65, 443,496.87 and 287,116.85 is: 396,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,217.65 : 443,496.87 = 287,116.85 : x
  2. Step 2: Convert to fraction form
    321,217.65/443,496.87 = 287,116.85/x
  3. Step 3: Cross multiply
    321,217.65x = 443,496.87 × 287,116.85
  4. Step 4: Simplify right side
    321,217.65x = 127,335,425,408.00
  5. Step 5: Solve for x
    x = 127,335,425,408.00/321,217.65
  6. Step 6: Final answer
    x = 396,414.78

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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.