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Finding the Fourth Proportional to 297,568.38, 447,961.31 and 271,084.57

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Solution

The fourth proportional to 297,568.38, 447,961.31 and 271,084.57 is: 408,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,568.38 : 447,961.31 = 271,084.57 : x
  2. Step 2: Convert to fraction form
    297,568.38/447,961.31 = 271,084.57/x
  3. Step 3: Cross multiply
    297,568.38x = 447,961.31 × 271,084.57
  4. Step 4: Simplify right side
    297,568.38x = 121,435,398,420.28
  5. Step 5: Solve for x
    x = 121,435,398,420.28/297,568.38
  6. Step 6: Final answer
    x = 408,092.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.