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Finding the Fourth Proportional to 263,716.84, 363,855.38 and 165,610.65

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Solution

The fourth proportional to 263,716.84, 363,855.38 and 165,610.65 is: 228,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,716.84 : 363,855.38 = 165,610.65 : x
  2. Step 2: Convert to fraction form
    263,716.84/363,855.38 = 165,610.65/x
  3. Step 3: Cross multiply
    263,716.84x = 363,855.38 × 165,610.65
  4. Step 4: Simplify right side
    263,716.84x = 60,258,323,340.47
  5. Step 5: Solve for x
    x = 60,258,323,340.47/263,716.84
  6. Step 6: Final answer
    x = 228,496.30

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Why These Related Problems?

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