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Finding the Fourth Proportional to 274,503.80, 411,755.70 and 231,201.20

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Solution

The fourth proportional to 274,503.80, 411,755.70 and 231,201.20 is: 346,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,503.80 : 411,755.70 = 231,201.20 : x
  2. Step 2: Convert to fraction form
    274,503.80/411,755.70 = 231,201.20/x
  3. Step 3: Cross multiply
    274,503.80x = 411,755.70 × 231,201.20
  4. Step 4: Simplify right side
    274,503.80x = 95,198,411,946.84
  5. Step 5: Solve for x
    x = 95,198,411,946.84/274,503.80
  6. Step 6: Final answer
    x = 346,801.80

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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.