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Finding the Fourth Proportional to 523,680.87, 784,431.44 and 333,197.67

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Solution

The fourth proportional to 523,680.87, 784,431.44 and 333,197.67 is: 499,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,680.87 : 784,431.44 = 333,197.67 : x
  2. Step 2: Convert to fraction form
    523,680.87/784,431.44 = 333,197.67/x
  3. Step 3: Cross multiply
    523,680.87x = 784,431.44 × 333,197.67
  4. Step 4: Simplify right side
    523,680.87x = 261,370,726,416.76
  5. Step 5: Solve for x
    x = 261,370,726,416.76/523,680.87
  6. Step 6: Final answer
    x = 499,103.06

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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.