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Finding the Fourth Proportional to 408,722.71, 613,087.50 and 142,482.73

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Solution

The fourth proportional to 408,722.71, 613,087.50 and 142,482.73 is: 213,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,722.71 : 613,087.50 = 142,482.73 : x
  2. Step 2: Convert to fraction form
    408,722.71/613,087.50 = 142,482.73/x
  3. Step 3: Cross multiply
    408,722.71x = 613,087.50 × 142,482.73
  4. Step 4: Simplify right side
    408,722.71x = 87,354,377,663.44
  5. Step 5: Solve for x
    x = 87,354,377,663.44/408,722.71
  6. Step 6: Final answer
    x = 213,725.29

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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.