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Finding the Fourth Proportional to 329,698.56, 494,546.76 and 119,286.48

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Solution

The fourth proportional to 329,698.56, 494,546.76 and 119,286.48 is: 178,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,698.56 : 494,546.76 = 119,286.48 : x
  2. Step 2: Convert to fraction form
    329,698.56/494,546.76 = 119,286.48/x
  3. Step 3: Cross multiply
    329,698.56x = 494,546.76 × 119,286.48
  4. Step 4: Simplify right side
    329,698.56x = 58,992,742,195.80
  5. Step 5: Solve for x
    x = 58,992,742,195.80/329,698.56
  6. Step 6: Final answer
    x = 178,929.33

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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.