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Finding the Fourth Proportional to 329,096.28, 493,663.56 and 92,457.42

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Solution

The fourth proportional to 329,096.28, 493,663.56 and 92,457.42 is: 138,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,096.28 : 493,663.56 = 92,457.42 : x
  2. Step 2: Convert to fraction form
    329,096.28/493,663.56 = 92,457.42/x
  3. Step 3: Cross multiply
    329,096.28x = 493,663.56 × 92,457.42
  4. Step 4: Simplify right side
    329,096.28x = 45,642,859,105.62
  5. Step 5: Solve for x
    x = 45,642,859,105.62/329,096.28
  6. Step 6: Final answer
    x = 138,691.51

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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.