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Finding the Fourth Proportional to 415,093.41, 622,224.38 and 162,025.92

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Solution

The fourth proportional to 415,093.41, 622,224.38 and 162,025.92 is: 242,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,093.41 : 622,224.38 = 162,025.92 : x
  2. Step 2: Convert to fraction form
    415,093.41/622,224.38 = 162,025.92/x
  3. Step 3: Cross multiply
    415,093.41x = 622,224.38 × 162,025.92
  4. Step 4: Simplify right side
    415,093.41x = 100,816,478,020.99
  5. Step 5: Solve for x
    x = 100,816,478,020.99/415,093.41
  6. Step 6: Final answer
    x = 242,876.60

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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.