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Finding the Fourth Proportional to 405,806.28, 608,313.72 and 169,216.56

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Solution

The fourth proportional to 405,806.28, 608,313.72 and 169,216.56 is: 253,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,806.28 : 608,313.72 = 169,216.56 : x
  2. Step 2: Convert to fraction form
    405,806.28/608,313.72 = 169,216.56/x
  3. Step 3: Cross multiply
    405,806.28x = 608,313.72 × 169,216.56
  4. Step 4: Simplify right side
    405,806.28x = 102,936,755,099.20
  5. Step 5: Solve for x
    x = 102,936,755,099.20/405,806.28
  6. Step 6: Final answer
    x = 253,659.84

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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.