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Finding the Fourth Proportional to 329,546.65, 494,319.97 and 104,906.11

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Solution

The fourth proportional to 329,546.65, 494,319.97 and 104,906.11 is: 157,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,546.65 : 494,319.97 = 104,906.11 : x
  2. Step 2: Convert to fraction form
    329,546.65/494,319.97 = 104,906.11/x
  3. Step 3: Cross multiply
    329,546.65x = 494,319.97 × 104,906.11
  4. Step 4: Simplify right side
    329,546.65x = 51,857,185,148.02
  5. Step 5: Solve for x
    x = 51,857,185,148.02/329,546.65
  6. Step 6: Final answer
    x = 157,359.16

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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.