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Finding the Fourth Proportional to 449,989.50, 675,020.10 and 150,471.96

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Solution

The fourth proportional to 449,989.50, 675,020.10 and 150,471.96 is: 225,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,989.50 : 675,020.10 = 150,471.96 : x
  2. Step 2: Convert to fraction form
    449,989.50/675,020.10 = 150,471.96/x
  3. Step 3: Cross multiply
    449,989.50x = 675,020.10 × 150,471.96
  4. Step 4: Simplify right side
    449,989.50x = 101,571,597,486.40
  5. Step 5: Solve for x
    x = 101,571,597,486.40/449,989.50
  6. Step 6: Final answer
    x = 225,719.93

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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.