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Finding the Fourth Proportional to 422,204.26, 582,642.76 and 228,614.08

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Solution

The fourth proportional to 422,204.26, 582,642.76 and 228,614.08 is: 315,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,204.26 : 582,642.76 = 228,614.08 : x
  2. Step 2: Convert to fraction form
    422,204.26/582,642.76 = 228,614.08/x
  3. Step 3: Cross multiply
    422,204.26x = 582,642.76 × 228,614.08
  4. Step 4: Simplify right side
    422,204.26x = 133,200,338,546.06
  5. Step 5: Solve for x
    x = 133,200,338,546.06/422,204.26
  6. Step 6: Final answer
    x = 315,487.91

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