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Finding the Fourth Proportional to 331,468.43, 457,429.45 and 200,649.09

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Solution

The fourth proportional to 331,468.43, 457,429.45 and 200,649.09 is: 276,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,468.43 : 457,429.45 = 200,649.09 : x
  2. Step 2: Convert to fraction form
    331,468.43/457,429.45 = 200,649.09/x
  3. Step 3: Cross multiply
    331,468.43x = 457,429.45 × 200,649.09
  4. Step 4: Simplify right side
    331,468.43x = 91,782,802,380.08
  5. Step 5: Solve for x
    x = 91,782,802,380.08/331,468.43
  6. Step 6: Final answer
    x = 276,897.57

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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.