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Finding the Fourth Proportional to 442,626.80, 664,156.20 and 205,847.60

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Solution

The fourth proportional to 442,626.80, 664,156.20 and 205,847.60 is: 308,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,626.80 : 664,156.20 = 205,847.60 : x
  2. Step 2: Convert to fraction form
    442,626.80/664,156.20 = 205,847.60/x
  3. Step 3: Cross multiply
    442,626.80x = 664,156.20 × 205,847.60
  4. Step 4: Simplify right side
    442,626.80x = 136,714,959,795.12
  5. Step 5: Solve for x
    x = 136,714,959,795.12/442,626.80
  6. Step 6: Final answer
    x = 308,871.85

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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.