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Finding the Fourth Proportional to 413,940.38, 571,238.26 and 235,092.38

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Solution

The fourth proportional to 413,940.38, 571,238.26 and 235,092.38 is: 324,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,940.38 : 571,238.26 = 235,092.38 : x
  2. Step 2: Convert to fraction form
    413,940.38/571,238.26 = 235,092.38/x
  3. Step 3: Cross multiply
    413,940.38x = 571,238.26 × 235,092.38
  4. Step 4: Simplify right side
    413,940.38x = 134,293,758,646.54
  5. Step 5: Solve for x
    x = 134,293,758,646.54/413,940.38
  6. Step 6: Final answer
    x = 324,427.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.