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Finding the Fourth Proportional to 275,206.20, 413,198.10 and 170,230.20

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Solution

The fourth proportional to 275,206.20, 413,198.10 and 170,230.20 is: 255,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,206.20 : 413,198.10 = 170,230.20 : x
  2. Step 2: Convert to fraction form
    275,206.20/413,198.10 = 170,230.20/x
  3. Step 3: Cross multiply
    275,206.20x = 413,198.10 × 170,230.20
  4. Step 4: Simplify right side
    275,206.20x = 70,338,795,202.62
  5. Step 5: Solve for x
    x = 70,338,795,202.62/275,206.20
  6. Step 6: Final answer
    x = 255,585.79

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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.