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Finding the Fourth Proportional to 512,232.40, 768,348.60 and 344,270.80

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Solution

The fourth proportional to 512,232.40, 768,348.60 and 344,270.80 is: 516,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,232.40 : 768,348.60 = 344,270.80 : x
  2. Step 2: Convert to fraction form
    512,232.40/768,348.60 = 344,270.80/x
  3. Step 3: Cross multiply
    512,232.40x = 768,348.60 × 344,270.80
  4. Step 4: Simplify right side
    512,232.40x = 264,519,987,200.88
  5. Step 5: Solve for x
    x = 264,519,987,200.88/512,232.40
  6. Step 6: Final answer
    x = 516,406.20

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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.