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Finding the Fourth Proportional to 512,214.20, 768,321.30 and 512,214.20

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Solution

The fourth proportional to 512,214.20, 768,321.30 and 512,214.20 is: 768,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,214.20 : 768,321.30 = 512,214.20 : x
  2. Step 2: Convert to fraction form
    512,214.20/768,321.30 = 512,214.20/x
  3. Step 3: Cross multiply
    512,214.20x = 768,321.30 × 512,214.20
  4. Step 4: Simplify right side
    512,214.20x = 393,545,080,022.46
  5. Step 5: Solve for x
    x = 393,545,080,022.46/512,214.20
  6. Step 6: Final answer
    x = 768,321.30

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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.