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Finding the Fourth Proportional to 419,453.16, 629,031.51 and 135,132.24

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Solution

The fourth proportional to 419,453.16, 629,031.51 and 135,132.24 is: 202,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,453.16 : 629,031.51 = 135,132.24 : x
  2. Step 2: Convert to fraction form
    419,453.16/629,031.51 = 135,132.24/x
  3. Step 3: Cross multiply
    419,453.16x = 629,031.51 × 135,132.24
  4. Step 4: Simplify right side
    419,453.16x = 85,002,436,976.88
  5. Step 5: Solve for x
    x = 85,002,436,976.88/419,453.16
  6. Step 6: Final answer
    x = 202,650.61

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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.