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Finding the Fourth Proportional to 414,496.26, 621,757.71 and 114,979.86

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Solution

The fourth proportional to 414,496.26, 621,757.71 and 114,979.86 is: 172,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,496.26 : 621,757.71 = 114,979.86 : x
  2. Step 2: Convert to fraction form
    414,496.26/621,757.71 = 114,979.86/x
  3. Step 3: Cross multiply
    414,496.26x = 621,757.71 × 114,979.86
  4. Step 4: Simplify right side
    414,496.26x = 71,489,614,449.72
  5. Step 5: Solve for x
    x = 71,489,614,449.72/414,496.26
  6. Step 6: Final answer
    x = 172,473.48

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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.