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Finding the Fourth Proportional to 418,704.45, 627,818.83 and 285,745.78

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Solution

The fourth proportional to 418,704.45, 627,818.83 and 285,745.78 is: 428,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,704.45 : 627,818.83 = 285,745.78 : x
  2. Step 2: Convert to fraction form
    418,704.45/627,818.83 = 285,745.78/x
  3. Step 3: Cross multiply
    418,704.45x = 627,818.83 × 285,745.78
  4. Step 4: Simplify right side
    418,704.45x = 179,396,581,277.04
  5. Step 5: Solve for x
    x = 179,396,581,277.04/418,704.45
  6. Step 6: Final answer
    x = 428,456.35

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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.