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Finding the Fourth Proportional to 331,457.70, 457,396.86 and 193,649.41

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Solution

The fourth proportional to 331,457.70, 457,396.86 and 193,649.41 is: 267,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,457.70 : 457,396.86 = 193,649.41 : x
  2. Step 2: Convert to fraction form
    331,457.70/457,396.86 = 193,649.41/x
  3. Step 3: Cross multiply
    331,457.70x = 457,396.86 × 193,649.41
  4. Step 4: Simplify right side
    331,457.70x = 88,574,632,074.85
  5. Step 5: Solve for x
    x = 88,574,632,074.85/331,457.70
  6. Step 6: Final answer
    x = 267,227.56

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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.