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Finding the Fourth Proportional to 397,379.53, 548,398.17 and 227,646.46

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Solution

The fourth proportional to 397,379.53, 548,398.17 and 227,646.46 is: 314,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,379.53 : 548,398.17 = 227,646.46 : x
  2. Step 2: Convert to fraction form
    397,379.53/548,398.17 = 227,646.46/x
  3. Step 3: Cross multiply
    397,379.53x = 548,398.17 × 227,646.46
  4. Step 4: Simplify right side
    397,379.53x = 124,840,898,190.76
  5. Step 5: Solve for x
    x = 124,840,898,190.76/397,379.53
  6. Step 6: Final answer
    x = 314,160.37

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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.