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Finding the Fourth Proportional to 305,896.38, 458,844.57 and 118,951.62

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Solution

The fourth proportional to 305,896.38, 458,844.57 and 118,951.62 is: 178,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,896.38 : 458,844.57 = 118,951.62 : x
  2. Step 2: Convert to fraction form
    305,896.38/458,844.57 = 118,951.62/x
  3. Step 3: Cross multiply
    305,896.38x = 458,844.57 × 118,951.62
  4. Step 4: Simplify right side
    305,896.38x = 54,580,304,929.70
  5. Step 5: Solve for x
    x = 54,580,304,929.70/305,896.38
  6. Step 6: Final answer
    x = 178,427.43

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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.