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Finding the Fourth Proportional to 378,229.60, 567,344.40 and 310,578.40

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Solution

The fourth proportional to 378,229.60, 567,344.40 and 310,578.40 is: 465,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,229.60 : 567,344.40 = 310,578.40 : x
  2. Step 2: Convert to fraction form
    378,229.60/567,344.40 = 310,578.40/x
  3. Step 3: Cross multiply
    378,229.60x = 567,344.40 × 310,578.40
  4. Step 4: Simplify right side
    378,229.60x = 176,204,916,000.96
  5. Step 5: Solve for x
    x = 176,204,916,000.96/378,229.60
  6. Step 6: Final answer
    x = 465,867.60

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Why These Related Problems?

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