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Finding the Fourth Proportional to 295,960.20, 408,400.38 and 166,891.44

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Solution

The fourth proportional to 295,960.20, 408,400.38 and 166,891.44 is: 230,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,960.20 : 408,400.38 = 166,891.44 : x
  2. Step 2: Convert to fraction form
    295,960.20/408,400.38 = 166,891.44/x
  3. Step 3: Cross multiply
    295,960.20x = 408,400.38 × 166,891.44
  4. Step 4: Simplify right side
    295,960.20x = 68,158,527,514.75
  5. Step 5: Solve for x
    x = 68,158,527,514.75/295,960.20
  6. Step 6: Final answer
    x = 230,296.26

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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.