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Finding the Fourth Proportional to 422,052.47, 582,434.12 and 231,083.63

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Solution

The fourth proportional to 422,052.47, 582,434.12 and 231,083.63 is: 318,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,052.47 : 582,434.12 = 231,083.63 : x
  2. Step 2: Convert to fraction form
    422,052.47/582,434.12 = 231,083.63/x
  3. Step 3: Cross multiply
    422,052.47x = 582,434.12 × 231,083.63
  4. Step 4: Simplify right side
    422,052.47x = 134,590,990,685.46
  5. Step 5: Solve for x
    x = 134,590,990,685.46/422,052.47
  6. Step 6: Final answer
    x = 318,896.35

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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.