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Finding the Fourth Proportional to 413,548.10, 620,408.55 and 133,093.70

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Solution

The fourth proportional to 413,548.10, 620,408.55 and 133,093.70 is: 199,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,548.10 : 620,408.55 = 133,093.70 : x
  2. Step 2: Convert to fraction form
    413,548.10/620,408.55 = 133,093.70/x
  3. Step 3: Cross multiply
    413,548.10x = 620,408.55 × 133,093.70
  4. Step 4: Simplify right side
    413,548.10x = 82,572,469,431.14
  5. Step 5: Solve for x
    x = 82,572,469,431.14/413,548.10
  6. Step 6: Final answer
    x = 199,668.36

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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.