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Finding the Fourth Proportional to 397,396.20, 596,171.10 and 200,404.20

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Solution

The fourth proportional to 397,396.20, 596,171.10 and 200,404.20 is: 300,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,396.20 : 596,171.10 = 200,404.20 : x
  2. Step 2: Convert to fraction form
    397,396.20/596,171.10 = 200,404.20/x
  3. Step 3: Cross multiply
    397,396.20x = 596,171.10 × 200,404.20
  4. Step 4: Simplify right side
    397,396.20x = 119,475,192,358.62
  5. Step 5: Solve for x
    x = 119,475,192,358.62/397,396.20
  6. Step 6: Final answer
    x = 300,645.03

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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.