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Finding the Fourth Proportional to 415,093.87, 622,728.29 and 134,589.25

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Solution

The fourth proportional to 415,093.87, 622,728.29 and 134,589.25 is: 201,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,093.87 : 622,728.29 = 134,589.25 : x
  2. Step 2: Convert to fraction form
    415,093.87/622,728.29 = 134,589.25/x
  3. Step 3: Cross multiply
    415,093.87x = 622,728.29 × 134,589.25
  4. Step 4: Simplify right side
    415,093.87x = 83,812,533,504.88
  5. Step 5: Solve for x
    x = 83,812,533,504.88/415,093.87
  6. Step 6: Final answer
    x = 201,912.24

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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.