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Finding the Fourth Proportional to 347,086.91, 478,958.01 and 194,139.11

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Solution

The fourth proportional to 347,086.91, 478,958.01 and 194,139.11 is: 267,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,086.91 : 478,958.01 = 194,139.11 : x
  2. Step 2: Convert to fraction form
    347,086.91/478,958.01 = 194,139.11/x
  3. Step 3: Cross multiply
    347,086.91x = 478,958.01 × 194,139.11
  4. Step 4: Simplify right side
    347,086.91x = 92,984,481,788.77
  5. Step 5: Solve for x
    x = 92,984,481,788.77/347,086.91
  6. Step 6: Final answer
    x = 267,899.71

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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.