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Finding the Fourth Proportional to 329,406.25, 494,109.38 and 104,767.15

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Solution

The fourth proportional to 329,406.25, 494,109.38 and 104,767.15 is: 157,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,406.25 : 494,109.38 = 104,767.15 : x
  2. Step 2: Convert to fraction form
    329,406.25/494,109.38 = 104,767.15/x
  3. Step 3: Cross multiply
    329,406.25x = 494,109.38 × 104,767.15
  4. Step 4: Simplify right side
    329,406.25x = 51,766,431,530.87
  5. Step 5: Solve for x
    x = 51,766,431,530.87/329,406.25
  6. Step 6: Final answer
    x = 157,150.73

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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.