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Finding the Fourth Proportional to 397,582.38, 548,678.79 and 227,849.31

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Solution

The fourth proportional to 397,582.38, 548,678.79 and 227,849.31 is: 314,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,582.38 : 548,678.79 = 227,849.31 : x
  2. Step 2: Convert to fraction form
    397,582.38/548,678.79 = 227,849.31/x
  3. Step 3: Cross multiply
    397,582.38x = 548,678.79 × 227,849.31
  4. Step 4: Simplify right side
    397,582.38x = 125,016,083,713.14
  5. Step 5: Solve for x
    x = 125,016,083,713.14/397,582.38
  6. Step 6: Final answer
    x = 314,440.70

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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.