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Finding the Fourth Proportional to 422,074.14, 582,517.74 and 240,744.43

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Solution

The fourth proportional to 422,074.14, 582,517.74 and 240,744.43 is: 332,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,074.14 : 582,517.74 = 240,744.43 : x
  2. Step 2: Convert to fraction form
    422,074.14/582,517.74 = 240,744.43/x
  3. Step 3: Cross multiply
    422,074.14x = 582,517.74 × 240,744.43
  4. Step 4: Simplify right side
    422,074.14x = 140,237,901,281.19
  5. Step 5: Solve for x
    x = 140,237,901,281.19/422,074.14
  6. Step 6: Final answer
    x = 332,258.93

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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.