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Finding the Fourth Proportional to 327,361.50, 491,063.01 and 102,730.79

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Solution

The fourth proportional to 327,361.50, 491,063.01 and 102,730.79 is: 154,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,361.50 : 491,063.01 = 102,730.79 : x
  2. Step 2: Convert to fraction form
    327,361.50/491,063.01 = 102,730.79/x
  3. Step 3: Cross multiply
    327,361.50x = 491,063.01 × 102,730.79
  4. Step 4: Simplify right side
    327,361.50x = 50,447,290,700.25
  5. Step 5: Solve for x
    x = 50,447,290,700.25/327,361.50
  6. Step 6: Final answer
    x = 154,102.70

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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.