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Finding the Fourth Proportional to 408,814.39, 613,246.19 and 172,175.52

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Solution

The fourth proportional to 408,814.39, 613,246.19 and 172,175.52 is: 258,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,814.39 : 613,246.19 = 172,175.52 : x
  2. Step 2: Convert to fraction form
    408,814.39/613,246.19 = 172,175.52/x
  3. Step 3: Cross multiply
    408,814.39x = 613,246.19 × 172,175.52
  4. Step 4: Simplify right side
    408,814.39x = 105,585,981,651.27
  5. Step 5: Solve for x
    x = 105,585,981,651.27/408,814.39
  6. Step 6: Final answer
    x = 258,273.64

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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.