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Finding the Fourth Proportional to 329,494.82, 494,242.22 and 80,176.82

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Solution

The fourth proportional to 329,494.82, 494,242.22 and 80,176.82 is: 120,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,494.82 : 494,242.22 = 80,176.82 : x
  2. Step 2: Convert to fraction form
    329,494.82/494,242.22 = 80,176.82/x
  3. Step 3: Cross multiply
    329,494.82x = 494,242.22 × 80,176.82
  4. Step 4: Simplify right side
    329,494.82x = 39,626,769,509.34
  5. Step 5: Solve for x
    x = 39,626,769,509.34/329,494.82
  6. Step 6: Final answer
    x = 120,265.23

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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.