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Finding the Fourth Proportional to 422,249.67, 582,704.19 and 228,657.29

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Solution

The fourth proportional to 422,249.67, 582,704.19 and 228,657.29 is: 315,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,249.67 : 582,704.19 = 228,657.29 : x
  2. Step 2: Convert to fraction form
    422,249.67/582,704.19 = 228,657.29/x
  3. Step 3: Cross multiply
    422,249.67x = 582,704.19 × 228,657.29
  4. Step 4: Simplify right side
    422,249.67x = 133,239,558,043.52
  5. Step 5: Solve for x
    x = 133,239,558,043.52/422,249.67
  6. Step 6: Final answer
    x = 315,546.86

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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.