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Finding the Fourth Proportional to 363,994.05, 502,288.81 and 200,641.56

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Solution

The fourth proportional to 363,994.05, 502,288.81 and 200,641.56 is: 276,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,994.05 : 502,288.81 = 200,641.56 : x
  2. Step 2: Convert to fraction form
    363,994.05/502,288.81 = 200,641.56/x
  3. Step 3: Cross multiply
    363,994.05x = 502,288.81 × 200,641.56
  4. Step 4: Simplify right side
    363,994.05x = 100,780,008,118.45
  5. Step 5: Solve for x
    x = 100,780,008,118.45/363,994.05
  6. Step 6: Final answer
    x = 276,872.68

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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.