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Finding the Fourth Proportional to 332,923.34, 499,758.17 and 133,382.84

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Solution

The fourth proportional to 332,923.34, 499,758.17 and 133,382.84 is: 200,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,923.34 : 499,758.17 = 133,382.84 : x
  2. Step 2: Convert to fraction form
    332,923.34/499,758.17 = 133,382.84/x
  3. Step 3: Cross multiply
    332,923.34x = 499,758.17 × 133,382.84
  4. Step 4: Simplify right side
    332,923.34x = 66,659,160,862.10
  5. Step 5: Solve for x
    x = 66,659,160,862.10/332,923.34
  6. Step 6: Final answer
    x = 200,223.76

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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.