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Finding the Fourth Proportional to 275,195.70, 412,793.55 and 200,157.30

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Solution

The fourth proportional to 275,195.70, 412,793.55 and 200,157.30 is: 300,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,195.70 : 412,793.55 = 200,157.30 : x
  2. Step 2: Convert to fraction form
    275,195.70/412,793.55 = 200,157.30/x
  3. Step 3: Cross multiply
    275,195.70x = 412,793.55 × 200,157.30
  4. Step 4: Simplify right side
    275,195.70x = 82,623,642,425.42
  5. Step 5: Solve for x
    x = 82,623,642,425.42/275,195.70
  6. Step 6: Final answer
    x = 300,235.95

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1.5x scale

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.