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Finding the Fourth Proportional to 380,190.24, 524,578.56 and 227,205.48

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Solution

The fourth proportional to 380,190.24, 524,578.56 and 227,205.48 is: 313,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,190.24 : 524,578.56 = 227,205.48 : x
  2. Step 2: Convert to fraction form
    380,190.24/524,578.56 = 227,205.48/x
  3. Step 3: Cross multiply
    380,190.24x = 524,578.56 × 227,205.48
  4. Step 4: Simplify right side
    380,190.24x = 119,187,123,522.51
  5. Step 5: Solve for x
    x = 119,187,123,522.51/380,190.24
  6. Step 6: Final answer
    x = 313,493.38

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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.