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Finding the Fourth Proportional to 460,681.62, 691,120.82 and 161,171.97

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Solution

The fourth proportional to 460,681.62, 691,120.82 and 161,171.97 is: 241,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,681.62 : 691,120.82 = 161,171.97 : x
  2. Step 2: Convert to fraction form
    460,681.62/691,120.82 = 161,171.97/x
  3. Step 3: Cross multiply
    460,681.62x = 691,120.82 × 161,171.97
  4. Step 4: Simplify right side
    460,681.62x = 111,389,304,067.42
  5. Step 5: Solve for x
    x = 111,389,304,067.42/460,681.62
  6. Step 6: Final answer
    x = 241,792.38

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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.