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Finding the Fourth Proportional to 281,732.78, 422,599.17 and 170,691.50

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Solution

The fourth proportional to 281,732.78, 422,599.17 and 170,691.50 is: 256,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,732.78 : 422,599.17 = 170,691.50 : x
  2. Step 2: Convert to fraction form
    281,732.78/422,599.17 = 170,691.50/x
  3. Step 3: Cross multiply
    281,732.78x = 422,599.17 × 170,691.50
  4. Step 4: Simplify right side
    281,732.78x = 72,134,086,226.06
  5. Step 5: Solve for x
    x = 72,134,086,226.06/281,732.78
  6. Step 6: Final answer
    x = 256,037.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.