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Finding the Fourth Proportional to 419,352.78, 629,049.83 and 119,877.15

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Solution

The fourth proportional to 419,352.78, 629,049.83 and 119,877.15 is: 179,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,352.78 : 629,049.83 = 119,877.15 : x
  2. Step 2: Convert to fraction form
    419,352.78/629,049.83 = 119,877.15/x
  3. Step 3: Cross multiply
    419,352.78x = 629,049.83 × 119,877.15
  4. Step 4: Simplify right side
    419,352.78x = 75,408,700,828.38
  5. Step 5: Solve for x
    x = 75,408,700,828.38/419,352.78
  6. Step 6: Final answer
    x = 179,821.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.