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Finding the Fourth Proportional to 545,206.82, 817,843.03 and 171,229.82

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Solution

The fourth proportional to 545,206.82, 817,843.03 and 171,229.82 is: 256,855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,206.82 : 817,843.03 = 171,229.82 : x
  2. Step 2: Convert to fraction form
    545,206.82/817,843.03 = 171,229.82/x
  3. Step 3: Cross multiply
    545,206.82x = 817,843.03 × 171,229.82
  4. Step 4: Simplify right side
    545,206.82x = 140,039,110,297.87
  5. Step 5: Solve for x
    x = 140,039,110,297.87/545,206.82
  6. Step 6: Final answer
    x = 256,855.03

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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.