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Finding the Fourth Proportional to 308,770.91, 462,768.81 and 166,610.44

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Solution

The fourth proportional to 308,770.91, 462,768.81 and 166,610.44 is: 249,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,770.91 : 462,768.81 = 166,610.44 : x
  2. Step 2: Convert to fraction form
    308,770.91/462,768.81 = 166,610.44/x
  3. Step 3: Cross multiply
    308,770.91x = 462,768.81 × 166,610.44
  4. Step 4: Simplify right side
    308,770.91x = 77,102,115,052.38
  5. Step 5: Solve for x
    x = 77,102,115,052.38/308,770.91
  6. Step 6: Final answer
    x = 249,706.54

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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.