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Finding the Fourth Proportional to 311,047.71, 465,824.23 and 177,523.16

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Solution

The fourth proportional to 311,047.71, 465,824.23 and 177,523.16 is: 265,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,047.71 : 465,824.23 = 177,523.16 : x
  2. Step 2: Convert to fraction form
    311,047.71/465,824.23 = 177,523.16/x
  3. Step 3: Cross multiply
    311,047.71x = 465,824.23 × 177,523.16
  4. Step 4: Simplify right side
    311,047.71x = 82,694,589,314.17
  5. Step 5: Solve for x
    x = 82,694,589,314.17/311,047.71
  6. Step 6: Final answer
    x = 265,858.22

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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.