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Finding the Fourth Proportional to 449,722.49, 674,509.83 and 161,474.46

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Solution

The fourth proportional to 449,722.49, 674,509.83 and 161,474.46 is: 242,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,722.49 : 674,509.83 = 161,474.46 : x
  2. Step 2: Convert to fraction form
    449,722.49/674,509.83 = 161,474.46/x
  3. Step 3: Cross multiply
    449,722.49x = 674,509.83 × 161,474.46
  4. Step 4: Simplify right side
    449,722.49x = 108,916,110,563.94
  5. Step 5: Solve for x
    x = 108,916,110,563.94/449,722.49
  6. Step 6: Final answer
    x = 242,185.16

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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.