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Finding the Fourth Proportional to 468,906.96, 647,092.25 and 254,047.02

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Solution

The fourth proportional to 468,906.96, 647,092.25 and 254,047.02 is: 350,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,906.96 : 647,092.25 = 254,047.02 : x
  2. Step 2: Convert to fraction form
    468,906.96/647,092.25 = 254,047.02/x
  3. Step 3: Cross multiply
    468,906.96x = 647,092.25 × 254,047.02
  4. Step 4: Simplify right side
    468,906.96x = 164,391,856,507.36
  5. Step 5: Solve for x
    x = 164,391,856,507.36/468,906.96
  6. Step 6: Final answer
    x = 350,585.23

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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.