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Finding the Fourth Proportional to 324,233.80, 486,120.30 and 146,825.80

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Solution

The fourth proportional to 324,233.80, 486,120.30 and 146,825.80 is: 220,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,233.80 : 486,120.30 = 146,825.80 : x
  2. Step 2: Convert to fraction form
    324,233.80/486,120.30 = 146,825.80/x
  3. Step 3: Cross multiply
    324,233.80x = 486,120.30 × 146,825.80
  4. Step 4: Simplify right side
    324,233.80x = 71,375,001,943.74
  5. Step 5: Solve for x
    x = 71,375,001,943.74/324,233.80
  6. Step 6: Final answer
    x = 220,134.37

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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.