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Finding the Fourth Proportional to 396,981.84, 595,383 and 116,520.96

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Solution

The fourth proportional to 396,981.84, 595,383 and 116,520.96 is: 174,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,981.84 : 595,383 = 116,520.96 : x
  2. Step 2: Convert to fraction form
    396,981.84/595,383 = 116,520.96/x
  3. Step 3: Cross multiply
    396,981.84x = 595,383 × 116,520.96
  4. Step 4: Simplify right side
    396,981.84x = 69,374,598,727.68
  5. Step 5: Solve for x
    x = 69,374,598,727.68/396,981.84
  6. Step 6: Final answer
    x = 174,755.09

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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.