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Finding the Fourth Proportional to 422,283.82, 582,761.15 and 240,992.14

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Solution

The fourth proportional to 422,283.82, 582,761.15 and 240,992.14 is: 332,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,283.82 : 582,761.15 = 240,992.14 : x
  2. Step 2: Convert to fraction form
    422,283.82/582,761.15 = 240,992.14/x
  3. Step 3: Cross multiply
    422,283.82x = 582,761.15 × 240,992.14
  4. Step 4: Simplify right side
    422,283.82x = 140,440,855,442.40
  5. Step 5: Solve for x
    x = 140,440,855,442.40/422,283.82
  6. Step 6: Final answer
    x = 332,574.56

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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.