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Finding the Fourth Proportional to 568,773.09, 784,906.61 and 314,122.05

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Solution

The fourth proportional to 568,773.09, 784,906.61 and 314,122.05 is: 433,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,773.09 : 784,906.61 = 314,122.05 : x
  2. Step 2: Convert to fraction form
    568,773.09/784,906.61 = 314,122.05/x
  3. Step 3: Cross multiply
    568,773.09x = 784,906.61 × 314,122.05
  4. Step 4: Simplify right side
    568,773.09x = 246,556,471,821.14
  5. Step 5: Solve for x
    x = 246,556,471,821.14/568,773.09
  6. Step 6: Final answer
    x = 433,488.29

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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.