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Finding the Fourth Proportional to 311,230.02, 466,906.24 and 111,496.62

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Solution

The fourth proportional to 311,230.02, 466,906.24 and 111,496.62 is: 167,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,230.02 : 466,906.24 = 111,496.62 : x
  2. Step 2: Convert to fraction form
    311,230.02/466,906.24 = 111,496.62/x
  3. Step 3: Cross multiply
    311,230.02x = 466,906.24 × 111,496.62
  4. Step 4: Simplify right side
    311,230.02x = 52,058,467,616.91
  5. Step 5: Solve for x
    x = 52,058,467,616.91/311,230.02
  6. Step 6: Final answer
    x = 167,266.86

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1.5x scale

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.