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Finding the Fourth Proportional to 324,229.60, 486,229.20 and 146,821.60

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Solution

The fourth proportional to 324,229.60, 486,229.20 and 146,821.60 is: 220,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,229.60 : 486,229.20 = 146,821.60 : x
  2. Step 2: Convert to fraction form
    324,229.60/486,229.20 = 146,821.60/x
  3. Step 3: Cross multiply
    324,229.60x = 486,229.20 × 146,821.60
  4. Step 4: Simplify right side
    324,229.60x = 71,388,949,110.72
  5. Step 5: Solve for x
    x = 71,388,949,110.72/324,229.60
  6. Step 6: Final answer
    x = 220,180.23

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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.