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Finding the Fourth Proportional to 337,517.34, 506,025.90 and 204,366.30

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Solution

The fourth proportional to 337,517.34, 506,025.90 and 204,366.30 is: 306,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,517.34 : 506,025.90 = 204,366.30 : x
  2. Step 2: Convert to fraction form
    337,517.34/506,025.90 = 204,366.30/x
  3. Step 3: Cross multiply
    337,517.34x = 506,025.90 × 204,366.30
  4. Step 4: Simplify right side
    337,517.34x = 103,414,640,887.17
  5. Step 5: Solve for x
    x = 103,414,640,887.17/337,517.34
  6. Step 6: Final answer
    x = 306,398.01

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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.