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Finding the Fourth Proportional to 397,786.33, 597,064.85 and 376,183.57

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Solution

The fourth proportional to 397,786.33, 597,064.85 and 376,183.57 is: 564,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,786.33 : 597,064.85 = 376,183.57 : x
  2. Step 2: Convert to fraction form
    397,786.33/597,064.85 = 376,183.57/x
  3. Step 3: Cross multiply
    397,786.33x = 597,064.85 × 376,183.57
  4. Step 4: Simplify right side
    397,786.33x = 224,605,986,794.52
  5. Step 5: Solve for x
    x = 224,605,986,794.52/397,786.33
  6. Step 6: Final answer
    x = 564,639.78

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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.