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Finding the Fourth Proportional to 419,161.20, 627,506.28 and 276,745.20

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Solution

The fourth proportional to 419,161.20, 627,506.28 and 276,745.20 is: 414,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,161.20 : 627,506.28 = 276,745.20 : x
  2. Step 2: Convert to fraction form
    419,161.20/627,506.28 = 276,745.20/x
  3. Step 3: Cross multiply
    419,161.20x = 627,506.28 × 276,745.20
  4. Step 4: Simplify right side
    419,161.20x = 173,659,350,959.86
  5. Step 5: Solve for x
    x = 173,659,350,959.86/419,161.20
  6. Step 6: Final answer
    x = 414,302.07

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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.