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Finding the Fourth Proportional to 313,171.69, 469,753.44 and 76,516.42

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Solution

The fourth proportional to 313,171.69, 469,753.44 and 76,516.42 is: 114,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,171.69 : 469,753.44 = 76,516.42 : x
  2. Step 2: Convert to fraction form
    313,171.69/469,753.44 = 76,516.42/x
  3. Step 3: Cross multiply
    313,171.69x = 469,753.44 × 76,516.42
  4. Step 4: Simplify right side
    313,171.69x = 35,943,851,511.48
  5. Step 5: Solve for x
    x = 35,943,851,511.48/313,171.69
  6. Step 6: Final answer
    x = 114,773.63

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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.