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Finding the Fourth Proportional to 449,505.24, 674,032.14 and 149,879.76

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Solution

The fourth proportional to 449,505.24, 674,032.14 and 149,879.76 is: 224,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,505.24 : 674,032.14 = 149,879.76 : x
  2. Step 2: Convert to fraction form
    449,505.24/674,032.14 = 149,879.76/x
  3. Step 3: Cross multiply
    449,505.24x = 674,032.14 × 149,879.76
  4. Step 4: Simplify right side
    449,505.24x = 101,023,775,375.49
  5. Step 5: Solve for x
    x = 101,023,775,375.49/449,505.24
  6. Step 6: Final answer
    x = 224,744.38

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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.