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Finding the Fourth Proportional to 463,974.50, 640,273.92 and 273,000.26

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Solution

The fourth proportional to 463,974.50, 640,273.92 and 273,000.26 is: 376,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,974.50 : 640,273.92 = 273,000.26 : x
  2. Step 2: Convert to fraction form
    463,974.50/640,273.92 = 273,000.26/x
  3. Step 3: Cross multiply
    463,974.50x = 640,273.92 × 273,000.26
  4. Step 4: Simplify right side
    463,974.50x = 174,794,946,631.22
  5. Step 5: Solve for x
    x = 174,794,946,631.22/463,974.50
  6. Step 6: Final answer
    x = 376,733.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.