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Finding the Fourth Proportional to 412,865.20, 619,297.80 and 132,410.80

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Solution

The fourth proportional to 412,865.20, 619,297.80 and 132,410.80 is: 198,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,865.20 : 619,297.80 = 132,410.80 : x
  2. Step 2: Convert to fraction form
    412,865.20/619,297.80 = 132,410.80/x
  3. Step 3: Cross multiply
    412,865.20x = 619,297.80 × 132,410.80
  4. Step 4: Simplify right side
    412,865.20x = 82,001,717,136.24
  5. Step 5: Solve for x
    x = 82,001,717,136.24/412,865.20
  6. Step 6: Final answer
    x = 198,616.20

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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.