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Finding the Fourth Proportional to 568,996.26, 785,233.89 and 314,361.42

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Solution

The fourth proportional to 568,996.26, 785,233.89 and 314,361.42 is: 433,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,996.26 : 785,233.89 = 314,361.42 : x
  2. Step 2: Convert to fraction form
    568,996.26/785,233.89 = 314,361.42/x
  3. Step 3: Cross multiply
    568,996.26x = 785,233.89 × 314,361.42
  4. Step 4: Simplify right side
    568,996.26x = 246,847,240,692.52
  5. Step 5: Solve for x
    x = 246,847,240,692.52/568,996.26
  6. Step 6: Final answer
    x = 433,829.29

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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.