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Finding the Fourth Proportional to 295,760.29, 408,149.37 and 159,794.20

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Solution

The fourth proportional to 295,760.29, 408,149.37 and 159,794.20 is: 220,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,760.29 : 408,149.37 = 159,794.20 : x
  2. Step 2: Convert to fraction form
    295,760.29/408,149.37 = 159,794.20/x
  3. Step 3: Cross multiply
    295,760.29x = 408,149.37 × 159,794.20
  4. Step 4: Simplify right side
    295,760.29x = 65,219,902,059.65
  5. Step 5: Solve for x
    x = 65,219,902,059.65/295,760.29
  6. Step 6: Final answer
    x = 220,516.09

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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.