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Finding the Fourth Proportional to 311,230.26, 466,906.60 and 111,496.86

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Solution

The fourth proportional to 311,230.26, 466,906.60 and 111,496.86 is: 167,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,230.26 : 466,906.60 = 111,496.86 : x
  2. Step 2: Convert to fraction form
    311,230.26/466,906.60 = 111,496.86/x
  3. Step 3: Cross multiply
    311,230.26x = 466,906.60 × 111,496.86
  4. Step 4: Simplify right side
    311,230.26x = 52,058,619,813.28
  5. Step 5: Solve for x
    x = 52,058,619,813.28/311,230.26
  6. Step 6: Final answer
    x = 167,267.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.