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Finding the Fourth Proportional to 283,609.69, 425,414.52 and 194,593.32

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Solution

The fourth proportional to 283,609.69, 425,414.52 and 194,593.32 is: 291,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,609.69 : 425,414.52 = 194,593.32 : x
  2. Step 2: Convert to fraction form
    283,609.69/425,414.52 = 194,593.32/x
  3. Step 3: Cross multiply
    283,609.69x = 425,414.52 × 194,593.32
  4. Step 4: Simplify right side
    283,609.69x = 82,782,823,823.01
  5. Step 5: Solve for x
    x = 82,782,823,823.01/283,609.69
  6. Step 6: Final answer
    x = 291,889.97

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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.