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Finding the Fourth Proportional to 414,680.72, 622,019.98 and 115,161.44

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Solution

The fourth proportional to 414,680.72, 622,019.98 and 115,161.44 is: 172,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,680.72 : 622,019.98 = 115,161.44 : x
  2. Step 2: Convert to fraction form
    414,680.72/622,019.98 = 115,161.44/x
  3. Step 3: Cross multiply
    414,680.72x = 622,019.98 × 115,161.44
  4. Step 4: Simplify right side
    414,680.72x = 71,632,716,605.57
  5. Step 5: Solve for x
    x = 71,632,716,605.57/414,680.72
  6. Step 6: Final answer
    x = 172,741.85

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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.