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Finding the Fourth Proportional to 449,720.86, 674,507.40 and 161,472.84

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Solution

The fourth proportional to 449,720.86, 674,507.40 and 161,472.84 is: 242,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,720.86 : 674,507.40 = 161,472.84 : x
  2. Step 2: Convert to fraction form
    449,720.86/674,507.40 = 161,472.84/x
  3. Step 3: Cross multiply
    449,720.86x = 674,507.40 × 161,472.84
  4. Step 4: Simplify right side
    449,720.86x = 108,914,625,479.02
  5. Step 5: Solve for x
    x = 108,914,625,479.02/449,720.86
  6. Step 6: Final answer
    x = 242,182.73

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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.