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Finding the Fourth Proportional to 407,879.20, 611,882.25 and 123,502.04

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Solution

The fourth proportional to 407,879.20, 611,882.25 and 123,502.04 is: 185,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,879.20 : 611,882.25 = 123,502.04 : x
  2. Step 2: Convert to fraction form
    407,879.20/611,882.25 = 123,502.04/x
  3. Step 3: Cross multiply
    407,879.20x = 611,882.25 × 123,502.04
  4. Step 4: Simplify right side
    407,879.20x = 75,568,703,055.38
  5. Step 5: Solve for x
    x = 75,568,703,055.38/407,879.20
  6. Step 6: Final answer
    x = 185,272.26

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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.