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Finding the Fourth Proportional to 363,906.78, 502,193.41 and 211,035.74

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Solution

The fourth proportional to 363,906.78, 502,193.41 and 211,035.74 is: 291,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,906.78 : 502,193.41 = 211,035.74 : x
  2. Step 2: Convert to fraction form
    363,906.78/502,193.41 = 211,035.74/x
  3. Step 3: Cross multiply
    363,906.78x = 502,193.41 × 211,035.74
  4. Step 4: Simplify right side
    363,906.78x = 105,980,757,902.47
  5. Step 5: Solve for x
    x = 105,980,757,902.47/363,906.78
  6. Step 6: Final answer
    x = 291,230.51

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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.