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Finding the Fourth Proportional to 493,217.62, 680,567.34 and 299,524.60

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Solution

The fourth proportional to 493,217.62, 680,567.34 and 299,524.60 is: 413,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,217.62 : 680,567.34 = 299,524.60 : x
  2. Step 2: Convert to fraction form
    493,217.62/680,567.34 = 299,524.60/x
  3. Step 3: Cross multiply
    493,217.62x = 680,567.34 × 299,524.60
  4. Step 4: Simplify right side
    493,217.62x = 203,846,660,286.56
  5. Step 5: Solve for x
    x = 203,846,660,286.56/493,217.62
  6. Step 6: Final answer
    x = 413,299.63

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1.5x scale

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.