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Finding the Fourth Proportional to 471,136.13, 650,168.16 and 267,121.83

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Solution

The fourth proportional to 471,136.13, 650,168.16 and 267,121.83 is: 368,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,136.13 : 650,168.16 = 267,121.83 : x
  2. Step 2: Convert to fraction form
    471,136.13/650,168.16 = 267,121.83/x
  3. Step 3: Cross multiply
    471,136.13x = 650,168.16 × 267,121.83
  4. Step 4: Simplify right side
    471,136.13x = 173,674,108,706.93
  5. Step 5: Solve for x
    x = 173,674,108,706.93/471,136.13
  6. Step 6: Final answer
    x = 368,628.30

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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.