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Finding the Fourth Proportional to 449,642.49, 674,943.89 and 193,601.76

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Solution

The fourth proportional to 449,642.49, 674,943.89 and 193,601.76 is: 290,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,642.49 : 674,943.89 = 193,601.76 : x
  2. Step 2: Convert to fraction form
    449,642.49/674,943.89 = 193,601.76/x
  3. Step 3: Cross multiply
    449,642.49x = 674,943.89 × 193,601.76
  4. Step 4: Simplify right side
    449,642.49x = 130,670,324,037.24
  5. Step 5: Solve for x
    x = 130,670,324,037.24/449,642.49
  6. Step 6: Final answer
    x = 290,609.38

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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.