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Finding the Fourth Proportional to 327,190.57, 490,792.00 and 102,546.03

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Solution

The fourth proportional to 327,190.57, 490,792.00 and 102,546.03 is: 153,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,190.57 : 490,792.00 = 102,546.03 : x
  2. Step 2: Convert to fraction form
    327,190.57/490,792.00 = 102,546.03/x
  3. Step 3: Cross multiply
    327,190.57x = 490,792.00 × 102,546.03
  4. Step 4: Simplify right side
    327,190.57x = 50,328,768,445.43
  5. Step 5: Solve for x
    x = 50,328,768,445.43/327,190.57
  6. Step 6: Final answer
    x = 153,820.96

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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.