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Finding the Fourth Proportional to 512,356.20, 768,534.30 and 412,711.02

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Solution

The fourth proportional to 512,356.20, 768,534.30 and 412,711.02 is: 619,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,356.20 : 768,534.30 = 412,711.02 : x
  2. Step 2: Convert to fraction form
    512,356.20/768,534.30 = 412,711.02/x
  3. Step 3: Cross multiply
    512,356.20x = 768,534.30 × 412,711.02
  4. Step 4: Simplify right side
    512,356.20x = 317,182,574,857.99
  5. Step 5: Solve for x
    x = 317,182,574,857.99/512,356.20
  6. Step 6: Final answer
    x = 619,066.53

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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.