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Finding the Fourth Proportional to 397,524.78, 548,598.83 and 227,791.71

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Solution

The fourth proportional to 397,524.78, 548,598.83 and 227,791.71 is: 314,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,524.78 : 548,598.83 = 227,791.71 : x
  2. Step 2: Convert to fraction form
    397,524.78/548,598.83 = 227,791.71/x
  3. Step 3: Cross multiply
    397,524.78x = 548,598.83 × 227,791.71
  4. Step 4: Simplify right side
    397,524.78x = 124,966,264,450.74
  5. Step 5: Solve for x
    x = 124,966,264,450.74/397,524.78
  6. Step 6: Final answer
    x = 314,360.94

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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.