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Finding the Fourth Proportional to 395,814.30, 593,706.87 and 171,231.27

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Solution

The fourth proportional to 395,814.30, 593,706.87 and 171,231.27 is: 256,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,814.30 : 593,706.87 = 171,231.27 : x
  2. Step 2: Convert to fraction form
    395,814.30/593,706.87 = 171,231.27/x
  3. Step 3: Cross multiply
    395,814.30x = 593,706.87 × 171,231.27
  4. Step 4: Simplify right side
    395,814.30x = 101,661,181,357.83
  5. Step 5: Solve for x
    x = 101,661,181,357.83/395,814.30
  6. Step 6: Final answer
    x = 256,840.60

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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.