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Finding the Fourth Proportional to 267,344, 401,016 and 80,355.68

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Solution

The fourth proportional to 267,344, 401,016 and 80,355.68 is: 120,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,344 : 401,016 = 80,355.68 : x
  2. Step 2: Convert to fraction form
    267,344/401,016 = 80,355.68/x
  3. Step 3: Cross multiply
    267,344x = 401,016 × 80,355.68
  4. Step 4: Simplify right side
    267,344x = 32,223,913,370.88
  5. Step 5: Solve for x
    x = 32,223,913,370.88/267,344
  6. Step 6: Final answer
    x = 120,533.52

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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.