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Finding the Fourth Proportional to 321,328.50, 443,248.65 and 200,411.70

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Solution

The fourth proportional to 321,328.50, 443,248.65 and 200,411.70 is: 276,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,328.50 : 443,248.65 = 200,411.70 : x
  2. Step 2: Convert to fraction form
    321,328.50/443,248.65 = 200,411.70/x
  3. Step 3: Cross multiply
    321,328.50x = 443,248.65 × 200,411.70
  4. Step 4: Simplify right side
    321,328.50x = 88,832,215,469.21
  5. Step 5: Solve for x
    x = 88,832,215,469.21/321,328.50
  6. Step 6: Final answer
    x = 276,452.96

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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.