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Finding the Fourth Proportional to 422,017.97, 582,417.14 and 240,733.89

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Solution

The fourth proportional to 422,017.97, 582,417.14 and 240,733.89 is: 332,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,017.97 : 582,417.14 = 240,733.89 : x
  2. Step 2: Convert to fraction form
    422,017.97/582,417.14 = 240,733.89/x
  3. Step 3: Cross multiply
    422,017.97x = 582,417.14 × 240,733.89
  4. Step 4: Simplify right side
    422,017.97x = 140,207,542,511.21
  5. Step 5: Solve for x
    x = 140,207,542,511.21/422,017.97
  6. Step 6: Final answer
    x = 332,231.22

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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.