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Finding the Fourth Proportional to 327,218.80, 490,828.20 and 274,730.80

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Solution

The fourth proportional to 327,218.80, 490,828.20 and 274,730.80 is: 412,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,218.80 : 490,828.20 = 274,730.80 : x
  2. Step 2: Convert to fraction form
    327,218.80/490,828.20 = 274,730.80/x
  3. Step 3: Cross multiply
    327,218.80x = 490,828.20 × 274,730.80
  4. Step 4: Simplify right side
    327,218.80x = 134,845,624,048.56
  5. Step 5: Solve for x
    x = 134,845,624,048.56/327,218.80
  6. Step 6: Final answer
    x = 412,096.20

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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.