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Finding the Fourth Proportional to 395,874.68, 593,695.90 and 111,546.32

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Solution

The fourth proportional to 395,874.68, 593,695.90 and 111,546.32 is: 167,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,874.68 : 593,695.90 = 111,546.32 : x
  2. Step 2: Convert to fraction form
    395,874.68/593,695.90 = 111,546.32/x
  3. Step 3: Cross multiply
    395,874.68x = 593,695.90 × 111,546.32
  4. Step 4: Simplify right side
    395,874.68x = 66,224,592,844.09
  5. Step 5: Solve for x
    x = 66,224,592,844.09/395,874.68
  6. Step 6: Final answer
    x = 167,286.76

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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.