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Finding the Fourth Proportional to 312,252.70, 468,380.22 and 75,595

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Solution

The fourth proportional to 312,252.70, 468,380.22 and 75,595 is: 113,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,252.70 : 468,380.22 = 75,595 : x
  2. Step 2: Convert to fraction form
    312,252.70/468,380.22 = 75,595/x
  3. Step 3: Cross multiply
    312,252.70x = 468,380.22 × 75,595
  4. Step 4: Simplify right side
    312,252.70x = 35,407,202,730.90
  5. Step 5: Solve for x
    x = 35,407,202,730.90/312,252.70
  6. Step 6: Final answer
    x = 113,392.78

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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.