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Finding the Fourth Proportional to 460,680.62, 691,119.32 and 161,170.97

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Solution

The fourth proportional to 460,680.62, 691,119.32 and 161,170.97 is: 241,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,680.62 : 691,119.32 = 161,170.97 : x
  2. Step 2: Convert to fraction form
    460,680.62/691,119.32 = 161,170.97/x
  3. Step 3: Cross multiply
    460,680.62x = 691,119.32 × 161,170.97
  4. Step 4: Simplify right side
    460,680.62x = 111,388,366,928.69
  5. Step 5: Solve for x
    x = 111,388,366,928.69/460,680.62
  6. Step 6: Final answer
    x = 241,790.87

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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.