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Finding the Fourth Proportional to 311,482.09, 466,544.51 and 204,745.56

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Solution

The fourth proportional to 311,482.09, 466,544.51 and 204,745.56 is: 306,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,482.09 : 466,544.51 = 204,745.56 : x
  2. Step 2: Convert to fraction form
    311,482.09/466,544.51 = 204,745.56/x
  3. Step 3: Cross multiply
    311,482.09x = 466,544.51 × 204,745.56
  4. Step 4: Simplify right side
    311,482.09x = 95,522,914,959.40
  5. Step 5: Solve for x
    x = 95,522,914,959.40/311,482.09
  6. Step 6: Final answer
    x = 306,672.25

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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.