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Finding the Fourth Proportional to 329,676.96, 493,290 and 196,629.60

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Solution

The fourth proportional to 329,676.96, 493,290 and 196,629.60 is: 294,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,676.96 : 493,290 = 196,629.60 : x
  2. Step 2: Convert to fraction form
    329,676.96/493,290 = 196,629.60/x
  3. Step 3: Cross multiply
    329,676.96x = 493,290 × 196,629.60
  4. Step 4: Simplify right side
    329,676.96x = 96,995,415,384
  5. Step 5: Solve for x
    x = 96,995,415,384/329,676.96
  6. Step 6: Final answer
    x = 294,213.51

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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.