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Finding the Fourth Proportional to 422,460.44, 582,986.32 and 231,469.72

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Solution

The fourth proportional to 422,460.44, 582,986.32 and 231,469.72 is: 319,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,460.44 : 582,986.32 = 231,469.72 : x
  2. Step 2: Convert to fraction form
    422,460.44/582,986.32 = 231,469.72/x
  3. Step 3: Cross multiply
    422,460.44x = 582,986.32 × 231,469.72
  4. Step 4: Simplify right side
    422,460.44x = 134,943,680,254.23
  5. Step 5: Solve for x
    x = 134,943,680,254.23/422,460.44
  6. Step 6: Final answer
    x = 319,423.23

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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.