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Finding the Fourth Proportional to 276,126.88, 413,583.20 and 228,198.80

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Solution

The fourth proportional to 276,126.88, 413,583.20 and 228,198.80 is: 341,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,126.88 : 413,583.20 = 228,198.80 : x
  2. Step 2: Convert to fraction form
    276,126.88/413,583.20 = 228,198.80/x
  3. Step 3: Cross multiply
    276,126.88x = 413,583.20 × 228,198.80
  4. Step 4: Simplify right side
    276,126.88x = 94,379,189,940.16
  5. Step 5: Solve for x
    x = 94,379,189,940.16/276,126.88
  6. Step 6: Final answer
    x = 341,796.46

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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.