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Finding the Fourth Proportional to 455,194.22, 682,824.14 and 174,711.47

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Solution

The fourth proportional to 455,194.22, 682,824.14 and 174,711.47 is: 262,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,194.22 : 682,824.14 = 174,711.47 : x
  2. Step 2: Convert to fraction form
    455,194.22/682,824.14 = 174,711.47/x
  3. Step 3: Cross multiply
    455,194.22x = 682,824.14 × 174,711.47
  4. Step 4: Simplify right side
    455,194.22x = 119,297,207,523.80
  5. Step 5: Solve for x
    x = 119,297,207,523.80/455,194.22
  6. Step 6: Final answer
    x = 262,079.79

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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.