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Finding the Fourth Proportional to 468,947.63, 647,146.82 and 254,093.51

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Solution

The fourth proportional to 468,947.63, 647,146.82 and 254,093.51 is: 350,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,947.63 : 647,146.82 = 254,093.51 : x
  2. Step 2: Convert to fraction form
    468,947.63/647,146.82 = 254,093.51/x
  3. Step 3: Cross multiply
    468,947.63x = 647,146.82 × 254,093.51
  4. Step 4: Simplify right side
    468,947.63x = 164,435,806,979.14
  5. Step 5: Solve for x
    x = 164,435,806,979.14/468,947.63
  6. Step 6: Final answer
    x = 350,648.55

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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.