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Finding the Fourth Proportional to 296,357.37, 408,701.48 and 198,069

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Solution

The fourth proportional to 296,357.37, 408,701.48 and 198,069 is: 273,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,357.37 : 408,701.48 = 198,069 : x
  2. Step 2: Convert to fraction form
    296,357.37/408,701.48 = 198,069/x
  3. Step 3: Cross multiply
    296,357.37x = 408,701.48 × 198,069
  4. Step 4: Simplify right side
    296,357.37x = 80,951,092,451.78
  5. Step 5: Solve for x
    x = 80,951,092,451.78/296,357.37
  6. Step 6: Final answer
    x = 273,153.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.