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Finding the Fourth Proportional to 397,158.82, 548,076.46 and 227,425.76

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Solution

The fourth proportional to 397,158.82, 548,076.46 and 227,425.76 is: 313,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,158.82 : 548,076.46 = 227,425.76 : x
  2. Step 2: Convert to fraction form
    397,158.82/548,076.46 = 227,425.76/x
  3. Step 3: Cross multiply
    397,158.82x = 548,076.46 × 227,425.76
  4. Step 4: Simplify right side
    397,158.82x = 124,646,705,453.61
  5. Step 5: Solve for x
    x = 124,646,705,453.61/397,158.82
  6. Step 6: Final answer
    x = 313,846.00

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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.