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Finding the Fourth Proportional to 395,832.20, 593,523.34 and 155,816

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Solution

The fourth proportional to 395,832.20, 593,523.34 and 155,816 is: 233,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,832.20 : 593,523.34 = 155,816 : x
  2. Step 2: Convert to fraction form
    395,832.20/593,523.34 = 155,816/x
  3. Step 3: Cross multiply
    395,832.20x = 593,523.34 × 155,816
  4. Step 4: Simplify right side
    395,832.20x = 92,480,432,745.44
  5. Step 5: Solve for x
    x = 92,480,432,745.44/395,832.20
  6. Step 6: Final answer
    x = 233,635.45

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