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Finding the Fourth Proportional to 405,635.22, 608,453.87 and 165,749.12

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Solution

The fourth proportional to 405,635.22, 608,453.87 and 165,749.12 is: 248,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,635.22 : 608,453.87 = 165,749.12 : x
  2. Step 2: Convert to fraction form
    405,635.22/608,453.87 = 165,749.12/x
  3. Step 3: Cross multiply
    405,635.22x = 608,453.87 × 165,749.12
  4. Step 4: Simplify right side
    405,635.22x = 100,850,693,513.09
  5. Step 5: Solve for x
    x = 100,850,693,513.09/405,635.22
  6. Step 6: Final answer
    x = 248,624.10

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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.