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Finding the Fourth Proportional to 367,692.98, 507,361.05 and 206,517.15

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Solution

The fourth proportional to 367,692.98, 507,361.05 and 206,517.15 is: 284,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,692.98 : 507,361.05 = 206,517.15 : x
  2. Step 2: Convert to fraction form
    367,692.98/507,361.05 = 206,517.15/x
  3. Step 3: Cross multiply
    367,692.98x = 507,361.05 × 206,517.15
  4. Step 4: Simplify right side
    367,692.98x = 104,778,758,067.01
  5. Step 5: Solve for x
    x = 104,778,758,067.01/367,692.98
  6. Step 6: Final answer
    x = 284,962.63

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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.