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Finding the Fourth Proportional to 323,982.74, 486,138.10 and 218,580.24

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Solution

The fourth proportional to 323,982.74, 486,138.10 and 218,580.24 is: 327,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,982.74 : 486,138.10 = 218,580.24 : x
  2. Step 2: Convert to fraction form
    323,982.74/486,138.10 = 218,580.24/x
  3. Step 3: Cross multiply
    323,982.74x = 486,138.10 × 218,580.24
  4. Step 4: Simplify right side
    323,982.74x = 106,260,182,571.14
  5. Step 5: Solve for x
    x = 106,260,182,571.14/323,982.74
  6. Step 6: Final answer
    x = 327,981.00

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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.