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Finding the Fourth Proportional to 311,568.46, 467,352.68 and 74,911.14

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Solution

The fourth proportional to 311,568.46, 467,352.68 and 74,911.14 is: 112,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,568.46 : 467,352.68 = 74,911.14 : x
  2. Step 2: Convert to fraction form
    311,568.46/467,352.68 = 74,911.14/x
  3. Step 3: Cross multiply
    311,568.46x = 467,352.68 × 74,911.14
  4. Step 4: Simplify right side
    311,568.46x = 35,009,922,040.86
  5. Step 5: Solve for x
    x = 35,009,922,040.86/311,568.46
  6. Step 6: Final answer
    x = 112,366.71

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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.