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Finding the Fourth Proportional to 441,231, 661,846.56 and 263,788.80

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Solution

The fourth proportional to 441,231, 661,846.56 and 263,788.80 is: 395,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,231 : 661,846.56 = 263,788.80 : x
  2. Step 2: Convert to fraction form
    441,231/661,846.56 = 263,788.80/x
  3. Step 3: Cross multiply
    441,231x = 661,846.56 × 263,788.80
  4. Step 4: Simplify right side
    441,231x = 174,587,709,846.53
  5. Step 5: Solve for x
    x = 174,587,709,846.53/441,231
  6. Step 6: Final answer
    x = 395,683.24

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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.