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Finding the Fourth Proportional to 523,682.12, 784,433.31 and 333,198.92

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Solution

The fourth proportional to 523,682.12, 784,433.31 and 333,198.92 is: 499,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,682.12 : 784,433.31 = 333,198.92 : x
  2. Step 2: Convert to fraction form
    523,682.12/784,433.31 = 333,198.92/x
  3. Step 3: Cross multiply
    523,682.12x = 784,433.31 × 333,198.92
  4. Step 4: Simplify right side
    523,682.12x = 261,372,331,704.03
  5. Step 5: Solve for x
    x = 261,372,331,704.03/523,682.12
  6. Step 6: Final answer
    x = 499,104.94

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Double scale
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1.5x scale

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.