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Finding the Fourth Proportional to 493,039.87, 739,226.09 and 193,333.39

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Solution

The fourth proportional to 493,039.87, 739,226.09 and 193,333.39 is: 289,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,039.87 : 739,226.09 = 193,333.39 : x
  2. Step 2: Convert to fraction form
    493,039.87/739,226.09 = 193,333.39/x
  3. Step 3: Cross multiply
    493,039.87x = 739,226.09 × 193,333.39
  4. Step 4: Simplify right side
    493,039.87x = 142,917,085,956.15
  5. Step 5: Solve for x
    x = 142,917,085,956.15/493,039.87
  6. Step 6: Final answer
    x = 289,869.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.