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Finding the Fourth Proportional to 395,471.92, 592,945.44 and 277,286.44

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Solution

The fourth proportional to 395,471.92, 592,945.44 and 277,286.44 is: 415,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,471.92 : 592,945.44 = 277,286.44 : x
  2. Step 2: Convert to fraction form
    395,471.92/592,945.44 = 277,286.44/x
  3. Step 3: Cross multiply
    395,471.92x = 592,945.44 × 277,286.44
  4. Step 4: Simplify right side
    395,471.92x = 164,415,730,171.83
  5. Step 5: Solve for x
    x = 164,415,730,171.83/395,471.92
  6. Step 6: Final answer
    x = 415,745.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.