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Finding the Fourth Proportional to 329,546.68, 494,142.78 and 104,846.20

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Solution

The fourth proportional to 329,546.68, 494,142.78 and 104,846.20 is: 157,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,546.68 : 494,142.78 = 104,846.20 : x
  2. Step 2: Convert to fraction form
    329,546.68/494,142.78 = 104,846.20/x
  3. Step 3: Cross multiply
    329,546.68x = 494,142.78 × 104,846.20
  4. Step 4: Simplify right side
    329,546.68x = 51,808,992,740.44
  5. Step 5: Solve for x
    x = 51,808,992,740.44/329,546.68
  6. Step 6: Final answer
    x = 157,212.91

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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.