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Finding the Fourth Proportional to 347,692.31, 479,733.14 and 196,789.31

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Solution

The fourth proportional to 347,692.31, 479,733.14 and 196,789.31 is: 271,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,692.31 : 479,733.14 = 196,789.31 : x
  2. Step 2: Convert to fraction form
    347,692.31/479,733.14 = 196,789.31/x
  3. Step 3: Cross multiply
    347,692.31x = 479,733.14 × 196,789.31
  4. Step 4: Simplify right side
    347,692.31x = 94,406,350,222.12
  5. Step 5: Solve for x
    x = 94,406,350,222.12/347,692.31
  6. Step 6: Final answer
    x = 271,522.69

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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.