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Finding the Fourth Proportional to 468,947.38, 647,146.48 and 254,093.26

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Solution

The fourth proportional to 468,947.38, 647,146.48 and 254,093.26 is: 350,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,947.38 : 647,146.48 = 254,093.26 : x
  2. Step 2: Convert to fraction form
    468,947.38/647,146.48 = 254,093.26/x
  3. Step 3: Cross multiply
    468,947.38x = 647,146.48 × 254,093.26
  4. Step 4: Simplify right side
    468,947.38x = 164,435,558,800.73
  5. Step 5: Solve for x
    x = 164,435,558,800.73/468,947.38
  6. Step 6: Final answer
    x = 350,648.21

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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.