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Finding the Fourth Proportional to 412,843.44, 619,323.60 and 132,295.20

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Solution

The fourth proportional to 412,843.44, 619,323.60 and 132,295.20 is: 198,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,843.44 : 619,323.60 = 132,295.20 : x
  2. Step 2: Convert to fraction form
    412,843.44/619,323.60 = 132,295.20/x
  3. Step 3: Cross multiply
    412,843.44x = 619,323.60 × 132,295.20
  4. Step 4: Simplify right side
    412,843.44x = 81,933,539,526.72
  5. Step 5: Solve for x
    x = 81,933,539,526.72/412,843.44
  6. Step 6: Final answer
    x = 198,461.53

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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.