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Finding the Fourth Proportional to 364,147, 502,552.78 and 200,835.44

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Solution

The fourth proportional to 364,147, 502,552.78 and 200,835.44 is: 277,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,147 : 502,552.78 = 200,835.44 : x
  2. Step 2: Convert to fraction form
    364,147/502,552.78 = 200,835.44/x
  3. Step 3: Cross multiply
    364,147x = 502,552.78 × 200,835.44
  4. Step 4: Simplify right side
    364,147x = 100,930,408,694.52
  5. Step 5: Solve for x
    x = 100,930,408,694.52/364,147
  6. Step 6: Final answer
    x = 277,169.41

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1.5x scale

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.