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Finding the Fourth Proportional to 328,093.80, 492,723.90 and 239,447.40

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Solution

The fourth proportional to 328,093.80, 492,723.90 and 239,447.40 is: 359,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,093.80 : 492,723.90 = 239,447.40 : x
  2. Step 2: Convert to fraction form
    328,093.80/492,723.90 = 239,447.40/x
  3. Step 3: Cross multiply
    328,093.80x = 492,723.90 × 239,447.40
  4. Step 4: Simplify right side
    328,093.80x = 117,981,456,772.86
  5. Step 5: Solve for x
    x = 117,981,456,772.86/328,093.80
  6. Step 6: Final answer
    x = 359,596.73

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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.