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Finding the Fourth Proportional to 471,067.92, 650,059.83 and 267,137.46

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Solution

The fourth proportional to 471,067.92, 650,059.83 and 267,137.46 is: 368,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,067.92 : 650,059.83 = 267,137.46 : x
  2. Step 2: Convert to fraction form
    471,067.92/650,059.83 = 267,137.46/x
  3. Step 3: Cross multiply
    471,067.92x = 650,059.83 × 267,137.46
  4. Step 4: Simplify right side
    471,067.92x = 173,655,331,834.23
  5. Step 5: Solve for x
    x = 173,655,331,834.23/471,067.92
  6. Step 6: Final answer
    x = 368,641.81

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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.