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Finding the Fourth Proportional to 297,471.32, 445,731.27 and 267,257.90

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Solution

The fourth proportional to 297,471.32, 445,731.27 and 267,257.90 is: 400,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,471.32 : 445,731.27 = 267,257.90 : x
  2. Step 2: Convert to fraction form
    297,471.32/445,731.27 = 267,257.90/x
  3. Step 3: Cross multiply
    297,471.32x = 445,731.27 × 267,257.90
  4. Step 4: Simplify right side
    297,471.32x = 119,125,203,184.53
  5. Step 5: Solve for x
    x = 119,125,203,184.53/297,471.32
  6. Step 6: Final answer
    x = 400,459.46

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Why These Related Problems?

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