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Finding the Fourth Proportional to 422,286.36, 582,755.72 and 228,694.38

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Solution

The fourth proportional to 422,286.36, 582,755.72 and 228,694.38 is: 315,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,286.36 : 582,755.72 = 228,694.38 : x
  2. Step 2: Convert to fraction form
    422,286.36/582,755.72 = 228,694.38/x
  3. Step 3: Cross multiply
    422,286.36x = 582,755.72 × 228,694.38
  4. Step 4: Simplify right side
    422,286.36x = 133,272,957,616.30
  5. Step 5: Solve for x
    x = 133,272,957,616.30/422,286.36
  6. Step 6: Final answer
    x = 315,598.54

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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.