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Finding the Fourth Proportional to 380,016.77, 524,324.75 and 226,992.38

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Solution

The fourth proportional to 380,016.77, 524,324.75 and 226,992.38 is: 313,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,016.77 : 524,324.75 = 226,992.38 : x
  2. Step 2: Convert to fraction form
    380,016.77/524,324.75 = 226,992.38/x
  3. Step 3: Cross multiply
    380,016.77x = 524,324.75 × 226,992.38
  4. Step 4: Simplify right side
    380,016.77x = 119,017,719,138.82
  5. Step 5: Solve for x
    x = 119,017,719,138.82/380,016.77
  6. Step 6: Final answer
    x = 313,190.71

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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.