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Finding the Fourth Proportional to 498,236.67, 687,568.50 and 271,882.17

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Solution

The fourth proportional to 498,236.67, 687,568.50 and 271,882.17 is: 375,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,236.67 : 687,568.50 = 271,882.17 : x
  2. Step 2: Convert to fraction form
    498,236.67/687,568.50 = 271,882.17/x
  3. Step 3: Cross multiply
    498,236.67x = 687,568.50 × 271,882.17
  4. Step 4: Simplify right side
    498,236.67x = 186,937,615,803.65
  5. Step 5: Solve for x
    x = 186,937,615,803.65/498,236.67
  6. Step 6: Final answer
    x = 375,198.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.