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Finding the Fourth Proportional to 274,138.30, 411,207.45 and 263,640.70

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Solution

The fourth proportional to 274,138.30, 411,207.45 and 263,640.70 is: 395,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,138.30 : 411,207.45 = 263,640.70 : x
  2. Step 2: Convert to fraction form
    274,138.30/411,207.45 = 263,640.70/x
  3. Step 3: Cross multiply
    274,138.30x = 411,207.45 × 263,640.70
  4. Step 4: Simplify right side
    274,138.30x = 108,411,019,963.22
  5. Step 5: Solve for x
    x = 108,411,019,963.22/274,138.30
  6. Step 6: Final answer
    x = 395,461.05

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