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Finding the Fourth Proportional to 414,891.52, 622,079.54 and 174,881.94

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Solution

The fourth proportional to 414,891.52, 622,079.54 and 174,881.94 is: 262,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,891.52 : 622,079.54 = 174,881.94 : x
  2. Step 2: Convert to fraction form
    414,891.52/622,079.54 = 174,881.94/x
  3. Step 3: Cross multiply
    414,891.52x = 622,079.54 × 174,881.94
  4. Step 4: Simplify right side
    414,891.52x = 108,790,475,221.82
  5. Step 5: Solve for x
    x = 108,790,475,221.82/414,891.52
  6. Step 6: Final answer
    x = 262,214.27

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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.