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Finding the Fourth Proportional to 395,416.80, 593,013.24 and 195,855.48

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Solution

The fourth proportional to 395,416.80, 593,013.24 and 195,855.48 is: 293,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,416.80 : 593,013.24 = 195,855.48 : x
  2. Step 2: Convert to fraction form
    395,416.80/593,013.24 = 195,855.48/x
  3. Step 3: Cross multiply
    395,416.80x = 593,013.24 × 195,855.48
  4. Step 4: Simplify right side
    395,416.80x = 116,144,892,766.56
  5. Step 5: Solve for x
    x = 116,144,892,766.56/395,416.80
  6. Step 6: Final answer
    x = 293,727.76

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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.