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Finding the Fourth Proportional to 512,305.20, 768,457.80 and 512,305.20

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Solution

The fourth proportional to 512,305.20, 768,457.80 and 512,305.20 is: 768,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,305.20 : 768,457.80 = 512,305.20 : x
  2. Step 2: Convert to fraction form
    512,305.20/768,457.80 = 512,305.20/x
  3. Step 3: Cross multiply
    512,305.20x = 768,457.80 × 512,305.20
  4. Step 4: Simplify right side
    512,305.20x = 393,684,926,920.56
  5. Step 5: Solve for x
    x = 393,684,926,920.56/512,305.20
  6. Step 6: Final answer
    x = 768,457.80

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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.