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Finding the Fourth Proportional to 329,838.30, 494,757.45 and 108,222.30

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Solution

The fourth proportional to 329,838.30, 494,757.45 and 108,222.30 is: 162,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,838.30 : 494,757.45 = 108,222.30 : x
  2. Step 2: Convert to fraction form
    329,838.30/494,757.45 = 108,222.30/x
  3. Step 3: Cross multiply
    329,838.30x = 494,757.45 × 108,222.30
  4. Step 4: Simplify right side
    329,838.30x = 53,543,789,181.14
  5. Step 5: Solve for x
    x = 53,543,789,181.14/329,838.30
  6. Step 6: Final answer
    x = 162,333.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.