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Finding the Fourth Proportional to 263,772.68, 395,918.22 and 193,451.72

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Solution

The fourth proportional to 263,772.68, 395,918.22 and 193,451.72 is: 290,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,772.68 : 395,918.22 = 193,451.72 : x
  2. Step 2: Convert to fraction form
    263,772.68/395,918.22 = 193,451.72/x
  3. Step 3: Cross multiply
    263,772.68x = 395,918.22 × 193,451.72
  4. Step 4: Simplify right side
    263,772.68x = 76,591,060,638.34
  5. Step 5: Solve for x
    x = 76,591,060,638.34/263,772.68
  6. Step 6: Final answer
    x = 290,367.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.