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Finding the Fourth Proportional to 422,193, 582,454.22 and 249,982.95

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Solution

The fourth proportional to 422,193, 582,454.22 and 249,982.95 is: 344,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,193 : 582,454.22 = 249,982.95 : x
  2. Step 2: Convert to fraction form
    422,193/582,454.22 = 249,982.95/x
  3. Step 3: Cross multiply
    422,193x = 582,454.22 × 249,982.95
  4. Step 4: Simplify right side
    422,193x = 145,603,622,905.63
  5. Step 5: Solve for x
    x = 145,603,622,905.63/422,193
  6. Step 6: Final answer
    x = 344,874.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.