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Finding the Fourth Proportional to 406,760.82, 610,144.87 and 107,283.97

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Solution

The fourth proportional to 406,760.82, 610,144.87 and 107,283.97 is: 160,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,760.82 : 610,144.87 = 107,283.97 : x
  2. Step 2: Convert to fraction form
    406,760.82/610,144.87 = 107,283.97/x
  3. Step 3: Cross multiply
    406,760.82x = 610,144.87 × 107,283.97
  4. Step 4: Simplify right side
    406,760.82x = 65,458,763,928.73
  5. Step 5: Solve for x
    x = 65,458,763,928.73/406,760.82
  6. Step 6: Final answer
    x = 160,926.92

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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.