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Finding the Fourth Proportional to 610,867.98, 843,493.10 and 381,692.25

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Solution

The fourth proportional to 610,867.98, 843,493.10 and 381,692.25 is: 527,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,867.98 : 843,493.10 = 381,692.25 : x
  2. Step 2: Convert to fraction form
    610,867.98/843,493.10 = 381,692.25/x
  3. Step 3: Cross multiply
    610,867.98x = 843,493.10 × 381,692.25
  4. Step 4: Simplify right side
    610,867.98x = 321,954,777,290.01
  5. Step 5: Solve for x
    x = 321,954,777,290.01/610,867.98
  6. Step 6: Final answer
    x = 527,044.78

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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.