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Finding the Fourth Proportional to 418,511.20, 627,912.60 and 182,023.60

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Solution

The fourth proportional to 418,511.20, 627,912.60 and 182,023.60 is: 273,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,511.20 : 627,912.60 = 182,023.60 : x
  2. Step 2: Convert to fraction form
    418,511.20/627,912.60 = 182,023.60/x
  3. Step 3: Cross multiply
    418,511.20x = 627,912.60 × 182,023.60
  4. Step 4: Simplify right side
    418,511.20x = 114,294,911,937.36
  5. Step 5: Solve for x
    x = 114,294,911,937.36/418,511.20
  6. Step 6: Final answer
    x = 273,098.81

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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.