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Finding the Fourth Proportional to 396,961.94, 595,441.69 and 160,301.81

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Solution

The fourth proportional to 396,961.94, 595,441.69 and 160,301.81 is: 240,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,961.94 : 595,441.69 = 160,301.81 : x
  2. Step 2: Convert to fraction form
    396,961.94/595,441.69 = 160,301.81/x
  3. Step 3: Cross multiply
    396,961.94x = 595,441.69 × 160,301.81
  4. Step 4: Simplify right side
    396,961.94x = 95,450,377,278.50
  5. Step 5: Solve for x
    x = 95,450,377,278.50/396,961.94
  6. Step 6: Final answer
    x = 240,452.22

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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.