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Finding the Fourth Proportional to 275,711.70, 413,020.80 and 242,833.80

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Solution

The fourth proportional to 275,711.70, 413,020.80 and 242,833.80 is: 363,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,711.70 : 413,020.80 = 242,833.80 : x
  2. Step 2: Convert to fraction form
    275,711.70/413,020.80 = 242,833.80/x
  3. Step 3: Cross multiply
    275,711.70x = 413,020.80 × 242,833.80
  4. Step 4: Simplify right side
    275,711.70x = 100,295,410,343.04
  5. Step 5: Solve for x
    x = 100,295,410,343.04/275,711.70
  6. Step 6: Final answer
    x = 363,769.15

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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.