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Finding the Fourth Proportional to 471,081.29, 650,155.21 and 267,206.11

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Solution

The fourth proportional to 471,081.29, 650,155.21 and 267,206.11 is: 368,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,081.29 : 650,155.21 = 267,206.11 : x
  2. Step 2: Convert to fraction form
    471,081.29/650,155.21 = 267,206.11/x
  3. Step 3: Cross multiply
    471,081.29x = 650,155.21 × 267,206.11
  4. Step 4: Simplify right side
    471,081.29x = 173,725,442,266.93
  5. Step 5: Solve for x
    x = 173,725,442,266.93/471,081.29
  6. Step 6: Final answer
    x = 368,780.18

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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.