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Finding the Fourth Proportional to 293,558.10, 405,234.15 and 198,193.98

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Solution

The fourth proportional to 293,558.10, 405,234.15 and 198,193.98 is: 273,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,558.10 : 405,234.15 = 198,193.98 : x
  2. Step 2: Convert to fraction form
    293,558.10/405,234.15 = 198,193.98/x
  3. Step 3: Cross multiply
    293,558.10x = 405,234.15 × 198,193.98
  4. Step 4: Simplify right side
    293,558.10x = 80,314,969,020.42
  5. Step 5: Solve for x
    x = 80,314,969,020.42/293,558.10
  6. Step 6: Final answer
    x = 273,591.39

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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.