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Finding the Fourth Proportional to 395,832.70, 593,524.09 and 155,816.50

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Solution

The fourth proportional to 395,832.70, 593,524.09 and 155,816.50 is: 233,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,832.70 : 593,524.09 = 155,816.50 : x
  2. Step 2: Convert to fraction form
    395,832.70/593,524.09 = 155,816.50/x
  3. Step 3: Cross multiply
    395,832.70x = 593,524.09 × 155,816.50
  4. Step 4: Simplify right side
    395,832.70x = 92,480,846,369.49
  5. Step 5: Solve for x
    x = 92,480,846,369.49/395,832.70
  6. Step 6: Final answer
    x = 233,636.20

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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.