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Finding the Fourth Proportional to 449,719.86, 674,505.90 and 161,471.84

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Solution

The fourth proportional to 449,719.86, 674,505.90 and 161,471.84 is: 242,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,719.86 : 674,505.90 = 161,471.84 : x
  2. Step 2: Convert to fraction form
    449,719.86/674,505.90 = 161,471.84/x
  3. Step 3: Cross multiply
    449,719.86x = 674,505.90 × 161,471.84
  4. Step 4: Simplify right side
    449,719.86x = 108,913,705,391.33
  5. Step 5: Solve for x
    x = 108,913,705,391.33/449,719.86
  6. Step 6: Final answer
    x = 242,181.22

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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.