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Finding the Fourth Proportional to 395,462.33, 593,221.16 and 158,805

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Solution

The fourth proportional to 395,462.33, 593,221.16 and 158,805 is: 238,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,462.33 : 593,221.16 = 158,805 : x
  2. Step 2: Convert to fraction form
    395,462.33/593,221.16 = 158,805/x
  3. Step 3: Cross multiply
    395,462.33x = 593,221.16 × 158,805
  4. Step 4: Simplify right side
    395,462.33x = 94,206,485,519.78
  5. Step 5: Solve for x
    x = 94,206,485,519.78/395,462.33
  6. Step 6: Final answer
    x = 238,218.61

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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.