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Finding the Fourth Proportional to 293,553.60, 405,228 and 198,189.48

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Solution

The fourth proportional to 293,553.60, 405,228 and 198,189.48 is: 273,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,553.60 : 405,228 = 198,189.48 : x
  2. Step 2: Convert to fraction form
    293,553.60/405,228 = 198,189.48/x
  3. Step 3: Cross multiply
    293,553.60x = 405,228 × 198,189.48
  4. Step 4: Simplify right side
    293,553.60x = 80,311,926,601.44
  5. Step 5: Solve for x
    x = 80,311,926,601.44/293,553.60
  6. Step 6: Final answer
    x = 273,585.22

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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.