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Finding the Fourth Proportional to 512,469.20, 768,703.80 and 489,141.20

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Solution

The fourth proportional to 512,469.20, 768,703.80 and 489,141.20 is: 733,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,469.20 : 768,703.80 = 489,141.20 : x
  2. Step 2: Convert to fraction form
    512,469.20/768,703.80 = 489,141.20/x
  3. Step 3: Cross multiply
    512,469.20x = 768,703.80 × 489,141.20
  4. Step 4: Simplify right side
    512,469.20x = 376,004,699,176.56
  5. Step 5: Solve for x
    x = 376,004,699,176.56/512,469.20
  6. Step 6: Final answer
    x = 733,711.80

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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.