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Finding the Fourth Proportional to 297,728, 446,591.31 and 129,226.49

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Solution

The fourth proportional to 297,728, 446,591.31 and 129,226.49 is: 193,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,728 : 446,591.31 = 129,226.49 : x
  2. Step 2: Convert to fraction form
    297,728/446,591.31 = 129,226.49/x
  3. Step 3: Cross multiply
    297,728x = 446,591.31 × 129,226.49
  4. Step 4: Simplify right side
    297,728x = 57,711,427,455.80
  5. Step 5: Solve for x
    x = 57,711,427,455.80/297,728
  6. Step 6: Final answer
    x = 193,839.44

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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.