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Finding the Fourth Proportional to 422,021.97, 582,397.29 and 238,270.23

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Solution

The fourth proportional to 422,021.97, 582,397.29 and 238,270.23 is: 328,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,021.97 : 582,397.29 = 238,270.23 : x
  2. Step 2: Convert to fraction form
    422,021.97/582,397.29 = 238,270.23/x
  3. Step 3: Cross multiply
    422,021.97x = 582,397.29 × 238,270.23
  4. Step 4: Simplify right side
    422,021.97x = 138,767,936,239.68
  5. Step 5: Solve for x
    x = 138,767,936,239.68/422,021.97
  6. Step 6: Final answer
    x = 328,816.85

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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.