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Finding the Fourth Proportional to 378,175.70, 521,882.55 and 206,093.69

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Solution

The fourth proportional to 378,175.70, 521,882.55 and 206,093.69 is: 284,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,175.70 : 521,882.55 = 206,093.69 : x
  2. Step 2: Convert to fraction form
    378,175.70/521,882.55 = 206,093.69/x
  3. Step 3: Cross multiply
    378,175.70x = 521,882.55 × 206,093.69
  4. Step 4: Simplify right side
    378,175.70x = 107,556,700,476.11
  5. Step 5: Solve for x
    x = 107,556,700,476.11/378,175.70
  6. Step 6: Final answer
    x = 284,409.34

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