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Finding the Fourth Proportional to 311,568.80, 467,660.40 and 153,975.20

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Solution

The fourth proportional to 311,568.80, 467,660.40 and 153,975.20 is: 231,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,568.80 : 467,660.40 = 153,975.20 : x
  2. Step 2: Convert to fraction form
    311,568.80/467,660.40 = 153,975.20/x
  3. Step 3: Cross multiply
    311,568.80x = 467,660.40 × 153,975.20
  4. Step 4: Simplify right side
    311,568.80x = 72,008,103,622.08
  5. Step 5: Solve for x
    x = 72,008,103,622.08/311,568.80
  6. Step 6: Final answer
    x = 231,114.62

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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.