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Finding the Fourth Proportional to 304,122.45, 419,678.46 and 166,304.71

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Solution

The fourth proportional to 304,122.45, 419,678.46 and 166,304.71 is: 229,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,122.45 : 419,678.46 = 166,304.71 : x
  2. Step 2: Convert to fraction form
    304,122.45/419,678.46 = 166,304.71/x
  3. Step 3: Cross multiply
    304,122.45x = 419,678.46 × 166,304.71
  4. Step 4: Simplify right side
    304,122.45x = 69,794,504,583.55
  5. Step 5: Solve for x
    x = 69,794,504,583.55/304,122.45
  6. Step 6: Final answer
    x = 229,494.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.