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Finding the Fourth Proportional to 513,120.45, 769,354.67 and 450,067.20

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Solution

The fourth proportional to 513,120.45, 769,354.67 and 450,067.20 is: 674,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,120.45 : 769,354.67 = 450,067.20 : x
  2. Step 2: Convert to fraction form
    513,120.45/769,354.67 = 450,067.20/x
  3. Step 3: Cross multiply
    513,120.45x = 769,354.67 × 450,067.20
  4. Step 4: Simplify right side
    513,120.45x = 346,261,299,883.49
  5. Step 5: Solve for x
    x = 346,261,299,883.49/513,120.45
  6. Step 6: Final answer
    x = 674,814.85

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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.