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Finding the Fourth Proportional to 664,297.80, 996,576.30 and 285,217.80

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Solution

The fourth proportional to 664,297.80, 996,576.30 and 285,217.80 is: 427,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,297.80 : 996,576.30 = 285,217.80 : x
  2. Step 2: Convert to fraction form
    664,297.80/996,576.30 = 285,217.80/x
  3. Step 3: Cross multiply
    664,297.80x = 996,576.30 × 285,217.80
  4. Step 4: Simplify right side
    664,297.80x = 284,241,299,818.14
  5. Step 5: Solve for x
    x = 284,241,299,818.14/664,297.80
  6. Step 6: Final answer
    x = 427,882.34

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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.