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Finding the Fourth Proportional to 305,480.16, 421,711.92 and 273,520.80

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Solution

The fourth proportional to 305,480.16, 421,711.92 and 273,520.80 is: 377,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,480.16 : 421,711.92 = 273,520.80 : x
  2. Step 2: Convert to fraction form
    305,480.16/421,711.92 = 273,520.80/x
  3. Step 3: Cross multiply
    305,480.16x = 421,711.92 × 273,520.80
  4. Step 4: Simplify right side
    305,480.16x = 115,346,981,727.94
  5. Step 5: Solve for x
    x = 115,346,981,727.94/305,480.16
  6. Step 6: Final answer
    x = 377,592.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.