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Finding the Fourth Proportional to 364,162, 502,573.52 and 200,850.48

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Solution

The fourth proportional to 364,162, 502,573.52 and 200,850.48 is: 277,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,162 : 502,573.52 = 200,850.48 : x
  2. Step 2: Convert to fraction form
    364,162/502,573.52 = 200,850.48/x
  3. Step 3: Cross multiply
    364,162x = 502,573.52 × 200,850.48
  4. Step 4: Simplify right side
    364,162x = 100,942,132,727.29
  5. Step 5: Solve for x
    x = 100,942,132,727.29/364,162
  6. Step 6: Final answer
    x = 277,190.19

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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.