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Finding the Fourth Proportional to 422,286.87, 582,755.00 and 228,693.98

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Solution

The fourth proportional to 422,286.87, 582,755.00 and 228,693.98 is: 315,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,286.87 : 582,755.00 = 228,693.98 : x
  2. Step 2: Convert to fraction form
    422,286.87/582,755.00 = 228,693.98/x
  3. Step 3: Cross multiply
    422,286.87x = 582,755.00 × 228,693.98
  4. Step 4: Simplify right side
    422,286.87x = 133,272,557,972.86
  5. Step 5: Solve for x
    x = 133,272,557,972.86/422,286.87
  6. Step 6: Final answer
    x = 315,597.21

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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.