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Finding the Fourth Proportional to 378,229.60, 567,344.40 and 343,237.60

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Solution

The fourth proportional to 378,229.60, 567,344.40 and 343,237.60 is: 514,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,229.60 : 567,344.40 = 343,237.60 : x
  2. Step 2: Convert to fraction form
    378,229.60/567,344.40 = 343,237.60/x
  3. Step 3: Cross multiply
    378,229.60x = 567,344.40 × 343,237.60
  4. Step 4: Simplify right side
    378,229.60x = 194,733,930,229.44
  5. Step 5: Solve for x
    x = 194,733,930,229.44/378,229.60
  6. Step 6: Final answer
    x = 514,856.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.