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Finding the Fourth Proportional to 332,932, 499,398 and 111,321.76

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Solution

The fourth proportional to 332,932, 499,398 and 111,321.76 is: 166,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,932 : 499,398 = 111,321.76 : x
  2. Step 2: Convert to fraction form
    332,932/499,398 = 111,321.76/x
  3. Step 3: Cross multiply
    332,932x = 499,398 × 111,321.76
  4. Step 4: Simplify right side
    332,932x = 55,593,864,300.48
  5. Step 5: Solve for x
    x = 55,593,864,300.48/332,932
  6. Step 6: Final answer
    x = 166,982.64

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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.