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Finding the Fourth Proportional to 293,803.56, 405,572.82 and 198,439.44

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Solution

The fourth proportional to 293,803.56, 405,572.82 and 198,439.44 is: 273,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,803.56 : 405,572.82 = 198,439.44 : x
  2. Step 2: Convert to fraction form
    293,803.56/405,572.82 = 198,439.44/x
  3. Step 3: Cross multiply
    293,803.56x = 405,572.82 × 198,439.44
  4. Step 4: Simplify right side
    293,803.56x = 80,481,643,280.02
  5. Step 5: Solve for x
    x = 80,481,643,280.02/293,803.56
  6. Step 6: Final answer
    x = 273,930.12

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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.