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Finding the Fourth Proportional to 397,472.72, 548,511.96 and 227,707.52

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Solution

The fourth proportional to 397,472.72, 548,511.96 and 227,707.52 is: 314,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,472.72 : 548,511.96 = 227,707.52 : x
  2. Step 2: Convert to fraction form
    397,472.72/548,511.96 = 227,707.52/x
  3. Step 3: Cross multiply
    397,472.72x = 548,511.96 × 227,707.52
  4. Step 4: Simplify right side
    397,472.72x = 124,900,298,101.94
  5. Step 5: Solve for x
    x = 124,900,298,101.94/397,472.72
  6. Step 6: Final answer
    x = 314,236.15

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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.