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Finding the Fourth Proportional to 512,136.20, 767,548.20 and 455,711.60

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Solution

The fourth proportional to 512,136.20, 767,548.20 and 455,711.60 is: 682,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,136.20 : 767,548.20 = 455,711.60 : x
  2. Step 2: Convert to fraction form
    512,136.20/767,548.20 = 455,711.60/x
  3. Step 3: Cross multiply
    512,136.20x = 767,548.20 × 455,711.60
  4. Step 4: Simplify right side
    512,136.20x = 349,780,618,299.12
  5. Step 5: Solve for x
    x = 349,780,618,299.12/512,136.20
  6. Step 6: Final answer
    x = 682,983.59

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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.