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Finding the Fourth Proportional to 414,866.40, 622,332.24 and 204,389.52

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Solution

The fourth proportional to 414,866.40, 622,332.24 and 204,389.52 is: 306,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,866.40 : 622,332.24 = 204,389.52 : x
  2. Step 2: Convert to fraction form
    414,866.40/622,332.24 = 204,389.52/x
  3. Step 3: Cross multiply
    414,866.40x = 622,332.24 × 204,389.52
  4. Step 4: Simplify right side
    414,866.40x = 127,198,187,814.13
  5. Step 5: Solve for x
    x = 127,198,187,814.13/414,866.40
  6. Step 6: Final answer
    x = 306,600.36

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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.