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Finding the Fourth Proportional to 468,945.87, 647,144.42 and 254,091.75

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Solution

The fourth proportional to 468,945.87, 647,144.42 and 254,091.75 is: 350,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,945.87 : 647,144.42 = 254,091.75 : x
  2. Step 2: Convert to fraction form
    468,945.87/647,144.42 = 254,091.75/x
  3. Step 3: Cross multiply
    468,945.87x = 647,144.42 × 254,091.75
  4. Step 4: Simplify right side
    468,945.87x = 164,434,056,910.08
  5. Step 5: Solve for x
    x = 164,434,056,910.08/468,945.87
  6. Step 6: Final answer
    x = 350,646.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.