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Finding the Fourth Proportional to 293,562.60, 405,240.42 and 198,198.48

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Solution

The fourth proportional to 293,562.60, 405,240.42 and 198,198.48 is: 273,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,562.60 : 405,240.42 = 198,198.48 : x
  2. Step 2: Convert to fraction form
    293,562.60/405,240.42 = 198,198.48/x
  3. Step 3: Cross multiply
    293,562.60x = 405,240.42 × 198,198.48
  4. Step 4: Simplify right side
    293,562.60x = 80,318,035,278.56
  5. Step 5: Solve for x
    x = 80,318,035,278.56/293,562.60
  6. Step 6: Final answer
    x = 273,597.64

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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.