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Finding the Fourth Proportional to 441,039.87, 661,778.64 and 174,794.49

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Solution

The fourth proportional to 441,039.87, 661,778.64 and 174,794.49 is: 262,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,039.87 : 661,778.64 = 174,794.49 : x
  2. Step 2: Convert to fraction form
    441,039.87/661,778.64 = 174,794.49/x
  3. Step 3: Cross multiply
    441,039.87x = 661,778.64 × 174,794.49
  4. Step 4: Simplify right side
    441,039.87x = 115,675,259,871.69
  5. Step 5: Solve for x
    x = 115,675,259,871.69/441,039.87
  6. Step 6: Final answer
    x = 262,278.46

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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.