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Finding the Fourth Proportional to 422,245.44, 582,708.33 and 231,257.16

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Solution

The fourth proportional to 422,245.44, 582,708.33 and 231,257.16 is: 319,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,245.44 : 582,708.33 = 231,257.16 : x
  2. Step 2: Convert to fraction form
    422,245.44/582,708.33 = 231,257.16/x
  3. Step 3: Cross multiply
    422,245.44x = 582,708.33 × 231,257.16
  4. Step 4: Simplify right side
    422,245.44x = 134,755,473,504.14
  5. Step 5: Solve for x
    x = 134,755,473,504.14/422,245.44
  6. Step 6: Final answer
    x = 319,140.15

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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.