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Finding the Fourth Proportional to 313,011.73, 469,517.60 and 76,352.82

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Solution

The fourth proportional to 313,011.73, 469,517.60 and 76,352.82 is: 114,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,011.73 : 469,517.60 = 76,352.82 : x
  2. Step 2: Convert to fraction form
    313,011.73/469,517.60 = 76,352.82/x
  3. Step 3: Cross multiply
    313,011.73x = 469,517.60 × 76,352.82
  4. Step 4: Simplify right side
    313,011.73x = 35,848,992,799.63
  5. Step 5: Solve for x
    x = 35,848,992,799.63/313,011.73
  6. Step 6: Final answer
    x = 114,529.23

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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.