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Finding the Fourth Proportional to 397,490.80, 595,847.40 and 160,517.20

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Solution

The fourth proportional to 397,490.80, 595,847.40 and 160,517.20 is: 240,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,490.80 : 595,847.40 = 160,517.20 : x
  2. Step 2: Convert to fraction form
    397,490.80/595,847.40 = 160,517.20/x
  3. Step 3: Cross multiply
    397,490.80x = 595,847.40 × 160,517.20
  4. Step 4: Simplify right side
    397,490.80x = 95,643,756,275.28
  5. Step 5: Solve for x
    x = 95,643,756,275.28/397,490.80
  6. Step 6: Final answer
    x = 240,618.79

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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.