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Finding the Fourth Proportional to 468,906.96, 647,092.24 and 254,047.04

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Solution

The fourth proportional to 468,906.96, 647,092.24 and 254,047.04 is: 350,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,906.96 : 647,092.24 = 254,047.04 : x
  2. Step 2: Convert to fraction form
    468,906.96/647,092.24 = 254,047.04/x
  3. Step 3: Cross multiply
    468,906.96x = 647,092.24 × 254,047.04
  4. Step 4: Simplify right side
    468,906.96x = 164,391,868,178.97
  5. Step 5: Solve for x
    x = 164,391,868,178.97/468,906.96
  6. Step 6: Final answer
    x = 350,585.26

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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.