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Finding the Fourth Proportional to 327,056.29, 490,584.44 and 102,434.30

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Solution

The fourth proportional to 327,056.29, 490,584.44 and 102,434.30 is: 153,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,056.29 : 490,584.44 = 102,434.30 : x
  2. Step 2: Convert to fraction form
    327,056.29/490,584.44 = 102,434.30/x
  3. Step 3: Cross multiply
    327,056.29x = 490,584.44 × 102,434.30
  4. Step 4: Simplify right side
    327,056.29x = 50,252,673,190.12
  5. Step 5: Solve for x
    x = 50,252,673,190.12/327,056.29
  6. Step 6: Final answer
    x = 153,651.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.