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Finding the Fourth Proportional to 293,784.50, 405,546.63 and 198,420.36

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Solution

The fourth proportional to 293,784.50, 405,546.63 and 198,420.36 is: 273,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,784.50 : 405,546.63 = 198,420.36 : x
  2. Step 2: Convert to fraction form
    293,784.50/405,546.63 = 198,420.36/x
  3. Step 3: Cross multiply
    293,784.50x = 405,546.63 × 198,420.36
  4. Step 4: Simplify right side
    293,784.50x = 80,468,708,321.39
  5. Step 5: Solve for x
    x = 80,468,708,321.39/293,784.50
  6. Step 6: Final answer
    x = 273,903.86

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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.