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Finding the Fourth Proportional to 347,092.44, 478,983.96 and 194,128.80

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Solution

The fourth proportional to 347,092.44, 478,983.96 and 194,128.80 is: 267,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,092.44 : 478,983.96 = 194,128.80 : x
  2. Step 2: Convert to fraction form
    347,092.44/478,983.96 = 194,128.80/x
  3. Step 3: Cross multiply
    347,092.44x = 478,983.96 × 194,128.80
  4. Step 4: Simplify right side
    347,092.44x = 92,984,581,374.05
  5. Step 5: Solve for x
    x = 92,984,581,374.05/347,092.44
  6. Step 6: Final answer
    x = 267,895.73

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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.