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Finding the Fourth Proportional to 311,334.36, 466,788.24 and 111,650.46

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Solution

The fourth proportional to 311,334.36, 466,788.24 and 111,650.46 is: 167,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,334.36 : 466,788.24 = 111,650.46 : x
  2. Step 2: Convert to fraction form
    311,334.36/466,788.24 = 111,650.46/x
  3. Step 3: Cross multiply
    311,334.36x = 466,788.24 × 111,650.46
  4. Step 4: Simplify right side
    311,334.36x = 52,117,121,718.59
  5. Step 5: Solve for x
    x = 52,117,121,718.59/311,334.36
  6. Step 6: Final answer
    x = 167,399.20

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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.