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Finding the Fourth Proportional to 512,136.80, 768,205.20 and 354,543.20

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Solution

The fourth proportional to 512,136.80, 768,205.20 and 354,543.20 is: 531,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,136.80 : 768,205.20 = 354,543.20 : x
  2. Step 2: Convert to fraction form
    512,136.80/768,205.20 = 354,543.20/x
  3. Step 3: Cross multiply
    512,136.80x = 768,205.20 × 354,543.20
  4. Step 4: Simplify right side
    512,136.80x = 272,361,929,864.64
  5. Step 5: Solve for x
    x = 272,361,929,864.64/512,136.80
  6. Step 6: Final answer
    x = 531,814.80

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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.