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Finding the Fourth Proportional to 276,644.70, 413,982.90 and 192,007.80

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Solution

The fourth proportional to 276,644.70, 413,982.90 and 192,007.80 is: 287,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,644.70 : 413,982.90 = 192,007.80 : x
  2. Step 2: Convert to fraction form
    276,644.70/413,982.90 = 192,007.80/x
  3. Step 3: Cross multiply
    276,644.70x = 413,982.90 × 192,007.80
  4. Step 4: Simplify right side
    276,644.70x = 79,487,945,866.62
  5. Step 5: Solve for x
    x = 79,487,945,866.62/276,644.70
  6. Step 6: Final answer
    x = 287,328.64

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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.