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Finding the Fourth Proportional to 378,180.03, 521,888.54 and 206,098.07

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Solution

The fourth proportional to 378,180.03, 521,888.54 and 206,098.07 is: 284,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,180.03 : 521,888.54 = 206,098.07 : x
  2. Step 2: Convert to fraction form
    378,180.03/521,888.54 = 206,098.07/x
  3. Step 3: Cross multiply
    378,180.03x = 521,888.54 × 206,098.07
  4. Step 4: Simplify right side
    378,180.03x = 107,560,217,209.19
  5. Step 5: Solve for x
    x = 107,560,217,209.19/378,180.03
  6. Step 6: Final answer
    x = 284,415.38

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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.