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Finding the Fourth Proportional to 414,542.80, 622,121.40 and 165,403.60

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Solution

The fourth proportional to 414,542.80, 622,121.40 and 165,403.60 is: 248,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,542.80 : 622,121.40 = 165,403.60 : x
  2. Step 2: Convert to fraction form
    414,542.80/622,121.40 = 165,403.60/x
  3. Step 3: Cross multiply
    414,542.80x = 622,121.40 × 165,403.60
  4. Step 4: Simplify right side
    414,542.80x = 102,901,119,197.04
  5. Step 5: Solve for x
    x = 102,901,119,197.04/414,542.80
  6. Step 6: Final answer
    x = 248,227.97

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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.