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Finding the Fourth Proportional to 568,105.47, 851,973.53 and 188,924.22

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Solution

The fourth proportional to 568,105.47, 851,973.53 and 188,924.22 is: 283,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,105.47 : 851,973.53 = 188,924.22 : x
  2. Step 2: Convert to fraction form
    568,105.47/851,973.53 = 188,924.22/x
  3. Step 3: Cross multiply
    568,105.47x = 851,973.53 × 188,924.22
  4. Step 4: Simplify right side
    568,105.47x = 160,958,433,671.28
  5. Step 5: Solve for x
    x = 160,958,433,671.28/568,105.47
  6. Step 6: Final answer
    x = 283,324.91

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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.