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Finding the Fourth Proportional to 378,175.46, 521,882.24 and 206,093.49

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Solution

The fourth proportional to 378,175.46, 521,882.24 and 206,093.49 is: 284,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,175.46 : 521,882.24 = 206,093.49 : x
  2. Step 2: Convert to fraction form
    378,175.46/521,882.24 = 206,093.49/x
  3. Step 3: Cross multiply
    378,175.46x = 521,882.24 × 206,093.49
  4. Step 4: Simplify right side
    378,175.46x = 107,556,532,210.62
  5. Step 5: Solve for x
    x = 107,556,532,210.62/378,175.46
  6. Step 6: Final answer
    x = 284,409.07

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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.