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Finding the Fourth Proportional to 312,405.26, 468,609.42 and 75,747.94

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Solution

The fourth proportional to 312,405.26, 468,609.42 and 75,747.94 is: 113,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,405.26 : 468,609.42 = 75,747.94 : x
  2. Step 2: Convert to fraction form
    312,405.26/468,609.42 = 75,747.94/x
  3. Step 3: Cross multiply
    312,405.26x = 468,609.42 × 75,747.94
  4. Step 4: Simplify right side
    312,405.26x = 35,496,198,229.59
  5. Step 5: Solve for x
    x = 35,496,198,229.59/312,405.26
  6. Step 6: Final answer
    x = 113,622.28

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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.