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Finding the Fourth Proportional to 275,936.60, 413,030.10 and 197,204.60

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Solution

The fourth proportional to 275,936.60, 413,030.10 and 197,204.60 is: 295,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,936.60 : 413,030.10 = 197,204.60 : x
  2. Step 2: Convert to fraction form
    275,936.60/413,030.10 = 197,204.60/x
  3. Step 3: Cross multiply
    275,936.60x = 413,030.10 × 197,204.60
  4. Step 4: Simplify right side
    275,936.60x = 81,451,435,658.46
  5. Step 5: Solve for x
    x = 81,451,435,658.46/275,936.60
  6. Step 6: Final answer
    x = 295,181.70

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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.