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Finding the Fourth Proportional to 395,473.61, 593,211.26 and 142,932.38

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Solution

The fourth proportional to 395,473.61, 593,211.26 and 142,932.38 is: 214,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,473.61 : 593,211.26 = 142,932.38 : x
  2. Step 2: Convert to fraction form
    395,473.61/593,211.26 = 142,932.38/x
  3. Step 3: Cross multiply
    395,473.61x = 593,211.26 × 142,932.38
  4. Step 4: Simplify right side
    395,473.61x = 84,789,093,553.88
  5. Step 5: Solve for x
    x = 84,789,093,553.88/395,473.61
  6. Step 6: Final answer
    x = 214,398.87

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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.