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Finding the Fourth Proportional to 327,193.94, 490,801.84 and 90,516.80

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Solution

The fourth proportional to 327,193.94, 490,801.84 and 90,516.80 is: 135,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,193.94 : 490,801.84 = 90,516.80 : x
  2. Step 2: Convert to fraction form
    327,193.94/490,801.84 = 90,516.80/x
  3. Step 3: Cross multiply
    327,193.94x = 490,801.84 × 90,516.80
  4. Step 4: Simplify right side
    327,193.94x = 44,425,812,991.62
  5. Step 5: Solve for x
    x = 44,425,812,991.62/327,193.94
  6. Step 6: Final answer
    x = 135,778.23

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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.