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Finding the Fourth Proportional to 471,017.12, 649,989.72 and 267,086.66

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Solution

The fourth proportional to 471,017.12, 649,989.72 and 267,086.66 is: 368,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,017.12 : 649,989.72 = 267,086.66 : x
  2. Step 2: Convert to fraction form
    471,017.12/649,989.72 = 267,086.66/x
  3. Step 3: Cross multiply
    471,017.12x = 649,989.72 × 267,086.66
  4. Step 4: Simplify right side
    471,017.12x = 173,603,583,349.14
  5. Step 5: Solve for x
    x = 173,603,583,349.14/471,017.12
  6. Step 6: Final answer
    x = 368,571.71

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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.