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Finding the Fourth Proportional to 471,706.70, 650,965.92 and 267,738.54

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Solution

The fourth proportional to 471,706.70, 650,965.92 and 267,738.54 is: 369,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,706.70 : 650,965.92 = 267,738.54 : x
  2. Step 2: Convert to fraction form
    471,706.70/650,965.92 = 267,738.54/x
  3. Step 3: Cross multiply
    471,706.70x = 650,965.92 × 267,738.54
  4. Step 4: Simplify right side
    471,706.70x = 174,288,665,010.56
  5. Step 5: Solve for x
    x = 174,288,665,010.56/471,706.70
  6. Step 6: Final answer
    x = 369,485.24

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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.