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Finding the Fourth Proportional to 397,384.34, 548,404.77 and 227,651.27

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Solution

The fourth proportional to 397,384.34, 548,404.77 and 227,651.27 is: 314,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,384.34 : 548,404.77 = 227,651.27 : x
  2. Step 2: Convert to fraction form
    397,384.34/548,404.77 = 227,651.27/x
  3. Step 3: Cross multiply
    397,384.34x = 548,404.77 × 227,651.27
  4. Step 4: Simplify right side
    397,384.34x = 124,845,040,476.23
  5. Step 5: Solve for x
    x = 124,845,040,476.23/397,384.34
  6. Step 6: Final answer
    x = 314,166.99

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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.