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Finding the Fourth Proportional to 436,102.20, 654,174.90 and 226,150.20

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Solution

The fourth proportional to 436,102.20, 654,174.90 and 226,150.20 is: 339,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,102.20 : 654,174.90 = 226,150.20 : x
  2. Step 2: Convert to fraction form
    436,102.20/654,174.90 = 226,150.20/x
  3. Step 3: Cross multiply
    436,102.20x = 654,174.90 × 226,150.20
  4. Step 4: Simplify right side
    436,102.20x = 147,941,784,469.98
  5. Step 5: Solve for x
    x = 147,941,784,469.98/436,102.20
  6. Step 6: Final answer
    x = 339,236.50

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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.