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Finding the Fourth Proportional to 327,169.19, 490,403.86 and 149,409.83

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Solution

The fourth proportional to 327,169.19, 490,403.86 and 149,409.83 is: 223,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,169.19 : 490,403.86 = 149,409.83 : x
  2. Step 2: Convert to fraction form
    327,169.19/490,403.86 = 149,409.83/x
  3. Step 3: Cross multiply
    327,169.19x = 490,403.86 × 149,409.83
  4. Step 4: Simplify right side
    327,169.19x = 73,271,157,353.94
  5. Step 5: Solve for x
    x = 73,271,157,353.94/327,169.19
  6. Step 6: Final answer
    x = 223,954.94

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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.