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Finding the Fourth Proportional to 297,280.12, 410,587.28 and 195,759.44

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Solution

The fourth proportional to 297,280.12, 410,587.28 and 195,759.44 is: 270,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,280.12 : 410,587.28 = 195,759.44 : x
  2. Step 2: Convert to fraction form
    297,280.12/410,587.28 = 195,759.44/x
  3. Step 3: Cross multiply
    297,280.12x = 410,587.28 × 195,759.44
  4. Step 4: Simplify right side
    297,280.12x = 80,376,336,003.92
  5. Step 5: Solve for x
    x = 80,376,336,003.92/297,280.12
  6. Step 6: Final answer
    x = 270,372.39

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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.