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Finding the Fourth Proportional to 465,109.34, 641,842.72 and 261,161.87

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Solution

The fourth proportional to 465,109.34, 641,842.72 and 261,161.87 is: 360,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,109.34 : 641,842.72 = 261,161.87 : x
  2. Step 2: Convert to fraction form
    465,109.34/641,842.72 = 261,161.87/x
  3. Step 3: Cross multiply
    465,109.34x = 641,842.72 × 261,161.87
  4. Step 4: Simplify right side
    465,109.34x = 167,624,841,138.97
  5. Step 5: Solve for x
    x = 167,624,841,138.97/465,109.34
  6. Step 6: Final answer
    x = 360,398.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.