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Finding the Fourth Proportional to 274,524.28, 411,819.72 and 96,994.96

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Solution

The fourth proportional to 274,524.28, 411,819.72 and 96,994.96 is: 145,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,524.28 : 411,819.72 = 96,994.96 : x
  2. Step 2: Convert to fraction form
    274,524.28/411,819.72 = 96,994.96/x
  3. Step 3: Cross multiply
    274,524.28x = 411,819.72 × 96,994.96
  4. Step 4: Simplify right side
    274,524.28x = 39,944,437,268.61
  5. Step 5: Solve for x
    x = 39,944,437,268.61/274,524.28
  6. Step 6: Final answer
    x = 145,504.21

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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.