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Finding the Fourth Proportional to 327,175.20, 490,762.80 and 268,855.20

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Solution

The fourth proportional to 327,175.20, 490,762.80 and 268,855.20 is: 403,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,175.20 : 490,762.80 = 268,855.20 : x
  2. Step 2: Convert to fraction form
    327,175.20/490,762.80 = 268,855.20/x
  3. Step 3: Cross multiply
    327,175.20x = 490,762.80 × 268,855.20
  4. Step 4: Simplify right side
    327,175.20x = 131,944,130,746.56
  5. Step 5: Solve for x
    x = 131,944,130,746.56/327,175.20
  6. Step 6: Final answer
    x = 403,282.80

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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.