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Finding the Fourth Proportional to 512,821.73, 707,692.24 and 283,372.63

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Solution

The fourth proportional to 512,821.73, 707,692.24 and 283,372.63 is: 391,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,821.73 : 707,692.24 = 283,372.63 : x
  2. Step 2: Convert to fraction form
    512,821.73/707,692.24 = 283,372.63/x
  3. Step 3: Cross multiply
    512,821.73x = 707,692.24 × 283,372.63
  4. Step 4: Simplify right side
    512,821.73x = 200,540,609,864.38
  5. Step 5: Solve for x
    x = 200,540,609,864.38/512,821.73
  6. Step 6: Final answer
    x = 391,053.26

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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.