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Finding the Fourth Proportional to 293,785.74, 405,548.36 and 198,421.61

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Solution

The fourth proportional to 293,785.74, 405,548.36 and 198,421.61 is: 273,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,785.74 : 405,548.36 = 198,421.61 : x
  2. Step 2: Convert to fraction form
    293,785.74/405,548.36 = 198,421.61/x
  3. Step 3: Cross multiply
    293,785.74x = 405,548.36 × 198,421.61
  4. Step 4: Simplify right side
    293,785.74x = 80,469,558,524.06
  5. Step 5: Solve for x
    x = 80,469,558,524.06/293,785.74
  6. Step 6: Final answer
    x = 273,905.60

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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.