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Finding the Fourth Proportional to 414,769.39, 622,153.73 and 115,249.82

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Solution

The fourth proportional to 414,769.39, 622,153.73 and 115,249.82 is: 172,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,769.39 : 622,153.73 = 115,249.82 : x
  2. Step 2: Convert to fraction form
    414,769.39/622,153.73 = 115,249.82/x
  3. Step 3: Cross multiply
    414,769.39x = 622,153.73 × 115,249.82
  4. Step 4: Simplify right side
    414,769.39x = 71,703,104,818.58
  5. Step 5: Solve for x
    x = 71,703,104,818.58/414,769.39
  6. Step 6: Final answer
    x = 172,874.63

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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.