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Finding the Fourth Proportional to 312,550.46, 468,823.66 and 75,891.54

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Solution

The fourth proportional to 312,550.46, 468,823.66 and 75,891.54 is: 113,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,550.46 : 468,823.66 = 75,891.54 : x
  2. Step 2: Convert to fraction form
    312,550.46/468,823.66 = 75,891.54/x
  3. Step 3: Cross multiply
    312,550.46x = 468,823.66 × 75,891.54
  4. Step 4: Simplify right side
    312,550.46x = 35,579,749,545.84
  5. Step 5: Solve for x
    x = 35,579,749,545.84/312,550.46
  6. Step 6: Final answer
    x = 113,836.82

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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.