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Finding the Fourth Proportional to 465,107.84, 641,840.64 and 261,160.37

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Solution

The fourth proportional to 465,107.84, 641,840.64 and 261,160.37 is: 360,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,107.84 : 641,840.64 = 261,160.37 : x
  2. Step 2: Convert to fraction form
    465,107.84/641,840.64 = 261,160.37/x
  3. Step 3: Cross multiply
    465,107.84x = 641,840.64 × 261,160.37
  4. Step 4: Simplify right side
    465,107.84x = 167,623,335,814.23
  5. Step 5: Solve for x
    x = 167,623,335,814.23/465,107.84
  6. Step 6: Final answer
    x = 360,396.71

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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.