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Finding the Fourth Proportional to 288,198.90, 397,697.99 and 160,882.56

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Solution

The fourth proportional to 288,198.90, 397,697.99 and 160,882.56 is: 222,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,198.90 : 397,697.99 = 160,882.56 : x
  2. Step 2: Convert to fraction form
    288,198.90/397,697.99 = 160,882.56/x
  3. Step 3: Cross multiply
    288,198.90x = 397,697.99 × 160,882.56
  4. Step 4: Simplify right side
    288,198.90x = 63,982,669,933.64
  5. Step 5: Solve for x
    x = 63,982,669,933.64/288,198.90
  6. Step 6: Final answer
    x = 222,008.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.