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Finding the Fourth Proportional to 512,512.87, 768,772.05 and 336,136.78

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Solution

The fourth proportional to 512,512.87, 768,772.05 and 336,136.78 is: 504,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,512.87 : 768,772.05 = 336,136.78 : x
  2. Step 2: Convert to fraction form
    512,512.87/768,772.05 = 336,136.78/x
  3. Step 3: Cross multiply
    512,512.87x = 768,772.05 × 336,136.78
  4. Step 4: Simplify right side
    512,512.87x = 258,412,561,441.00
  5. Step 5: Solve for x
    x = 258,412,561,441.00/512,512.87
  6. Step 6: Final answer
    x = 504,206.97

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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.