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Finding the Fourth Proportional to 300,794.75, 415,096.80 and 179,941.13

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Solution

The fourth proportional to 300,794.75, 415,096.80 and 179,941.13 is: 248,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,794.75 : 415,096.80 = 179,941.13 : x
  2. Step 2: Convert to fraction form
    300,794.75/415,096.80 = 179,941.13/x
  3. Step 3: Cross multiply
    300,794.75x = 415,096.80 × 179,941.13
  4. Step 4: Simplify right side
    300,794.75x = 74,692,987,251.38
  5. Step 5: Solve for x
    x = 74,692,987,251.38/300,794.75
  6. Step 6: Final answer
    x = 248,318.79

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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.