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Finding the Fourth Proportional to 422,287.36, 582,757.10 and 228,695.38

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Solution

The fourth proportional to 422,287.36, 582,757.10 and 228,695.38 is: 315,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,287.36 : 582,757.10 = 228,695.38 : x
  2. Step 2: Convert to fraction form
    422,287.36/582,757.10 = 228,695.38/x
  3. Step 3: Cross multiply
    422,287.36x = 582,757.10 × 228,695.38
  4. Step 4: Simplify right side
    422,287.36x = 133,273,856,432.20
  5. Step 5: Solve for x
    x = 133,273,856,432.20/422,287.36
  6. Step 6: Final answer
    x = 315,599.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.