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Finding the Fourth Proportional to 274,638.60, 411,083.10 and 195,906.60

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Solution

The fourth proportional to 274,638.60, 411,083.10 and 195,906.60 is: 293,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,638.60 : 411,083.10 = 195,906.60 : x
  2. Step 2: Convert to fraction form
    274,638.60/411,083.10 = 195,906.60/x
  3. Step 3: Cross multiply
    274,638.60x = 411,083.10 × 195,906.60
  4. Step 4: Simplify right side
    274,638.60x = 80,533,892,438.46
  5. Step 5: Solve for x
    x = 80,533,892,438.46/274,638.60
  6. Step 6: Final answer
    x = 293,235.88

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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.