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Finding the Fourth Proportional to 471,105.66, 650,140.34 and 267,164.94

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Solution

The fourth proportional to 471,105.66, 650,140.34 and 267,164.94 is: 368,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,105.66 : 650,140.34 = 267,164.94 : x
  2. Step 2: Convert to fraction form
    471,105.66/650,140.34 = 267,164.94/x
  3. Step 3: Cross multiply
    471,105.66x = 650,140.34 × 267,164.94
  4. Step 4: Simplify right side
    471,105.66x = 173,694,704,927.68
  5. Step 5: Solve for x
    x = 173,694,704,927.68/471,105.66
  6. Step 6: Final answer
    x = 368,695.86

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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.