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Finding the Fourth Proportional to 331,692.60, 497,538.54 and 82,374.60

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Solution

The fourth proportional to 331,692.60, 497,538.54 and 82,374.60 is: 123,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,692.60 : 497,538.54 = 82,374.60 : x
  2. Step 2: Convert to fraction form
    331,692.60/497,538.54 = 82,374.60/x
  3. Step 3: Cross multiply
    331,692.60x = 497,538.54 × 82,374.60
  4. Step 4: Simplify right side
    331,692.60x = 40,984,538,217.08
  5. Step 5: Solve for x
    x = 40,984,538,217.08/331,692.60
  6. Step 6: Final answer
    x = 123,561.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.