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Finding the Fourth Proportional to 322,458.20, 483,456.90 and 144,819.80

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Solution

The fourth proportional to 322,458.20, 483,456.90 and 144,819.80 is: 217,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,458.20 : 483,456.90 = 144,819.80 : x
  2. Step 2: Convert to fraction form
    322,458.20/483,456.90 = 144,819.80/x
  3. Step 3: Cross multiply
    322,458.20x = 483,456.90 × 144,819.80
  4. Step 4: Simplify right side
    322,458.20x = 70,014,131,566.62
  5. Step 5: Solve for x
    x = 70,014,131,566.62/322,458.20
  6. Step 6: Final answer
    x = 217,126.22

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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.