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Finding the Fourth Proportional to 383,105.94, 574,658.91 and 133,782.42

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Solution

The fourth proportional to 383,105.94, 574,658.91 and 133,782.42 is: 200,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,105.94 : 574,658.91 = 133,782.42 : x
  2. Step 2: Convert to fraction form
    383,105.94/574,658.91 = 133,782.42/x
  3. Step 3: Cross multiply
    383,105.94x = 574,658.91 × 133,782.42
  4. Step 4: Simplify right side
    383,105.94x = 76,879,259,654.36
  5. Step 5: Solve for x
    x = 76,879,259,654.36/383,105.94
  6. Step 6: Final answer
    x = 200,673.63

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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.