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Finding the Fourth Proportional to 465,775.26, 698,752.17 and 150,147.42

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Solution

The fourth proportional to 465,775.26, 698,752.17 and 150,147.42 is: 225,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,775.26 : 698,752.17 = 150,147.42 : x
  2. Step 2: Convert to fraction form
    465,775.26/698,752.17 = 150,147.42/x
  3. Step 3: Cross multiply
    465,775.26x = 698,752.17 × 150,147.42
  4. Step 4: Simplify right side
    465,775.26x = 104,915,835,544.90
  5. Step 5: Solve for x
    x = 104,915,835,544.90/465,775.26
  6. Step 6: Final answer
    x = 225,249.91

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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.