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Finding the Fourth Proportional to 361,952.26, 499,554.08 and 200,859.06

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Solution

The fourth proportional to 361,952.26, 499,554.08 and 200,859.06 is: 277,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,952.26 : 499,554.08 = 200,859.06 : x
  2. Step 2: Convert to fraction form
    361,952.26/499,554.08 = 200,859.06/x
  3. Step 3: Cross multiply
    361,952.26x = 499,554.08 × 200,859.06
  4. Step 4: Simplify right side
    361,952.26x = 100,339,962,927.97
  5. Step 5: Solve for x
    x = 100,339,962,927.97/361,952.26
  6. Step 6: Final answer
    x = 277,218.78

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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.