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Finding the Fourth Proportional to 447,806.40, 617,879.52 and 277,939.68

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Solution

The fourth proportional to 447,806.40, 617,879.52 and 277,939.68 is: 383,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,806.40 : 617,879.52 = 277,939.68 : x
  2. Step 2: Convert to fraction form
    447,806.40/617,879.52 = 277,939.68/x
  3. Step 3: Cross multiply
    447,806.40x = 617,879.52 × 277,939.68
  4. Step 4: Simplify right side
    447,806.40x = 171,733,236,067.35
  5. Step 5: Solve for x
    x = 171,733,236,067.35/447,806.40
  6. Step 6: Final answer
    x = 383,498.84

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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.