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Finding the Fourth Proportional to 471,414.94, 650,540.14 and 256,550.40

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Solution

The fourth proportional to 471,414.94, 650,540.14 and 256,550.40 is: 354,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,414.94 : 650,540.14 = 256,550.40 : x
  2. Step 2: Convert to fraction form
    471,414.94/650,540.14 = 256,550.40/x
  3. Step 3: Cross multiply
    471,414.94x = 650,540.14 × 256,550.40
  4. Step 4: Simplify right side
    471,414.94x = 166,896,332,491.68
  5. Step 5: Solve for x
    x = 166,896,332,491.68/471,414.94
  6. Step 6: Final answer
    x = 354,032.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.