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Finding the Fourth Proportional to 512,136.70, 768,205.05 and 512,136.70

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Solution

The fourth proportional to 512,136.70, 768,205.05 and 512,136.70 is: 768,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,136.70 : 768,205.05 = 512,136.70 : x
  2. Step 2: Convert to fraction form
    512,136.70/768,205.05 = 512,136.70/x
  3. Step 3: Cross multiply
    512,136.70x = 768,205.05 × 512,136.70
  4. Step 4: Simplify right side
    512,136.70x = 393,425,999,230.34
  5. Step 5: Solve for x
    x = 393,425,999,230.34/512,136.70
  6. Step 6: Final answer
    x = 768,205.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.