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Finding the Fourth Proportional to 471,498.52, 650,757.65 and 267,568.44

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Solution

The fourth proportional to 471,498.52, 650,757.65 and 267,568.44 is: 369,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,498.52 : 650,757.65 = 267,568.44 : x
  2. Step 2: Convert to fraction form
    471,498.52/650,757.65 = 267,568.44/x
  3. Step 3: Cross multiply
    471,498.52x = 650,757.65 × 267,568.44
  4. Step 4: Simplify right side
    471,498.52x = 174,122,207,280.64
  5. Step 5: Solve for x
    x = 174,122,207,280.64/471,498.52
  6. Step 6: Final answer
    x = 369,295.34

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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.