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Finding the Fourth Proportional to 465,648.43, 701,584.16 and 420,721.97

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Solution

The fourth proportional to 465,648.43, 701,584.16 and 420,721.97 is: 633,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,648.43 : 701,584.16 = 420,721.97 : x
  2. Step 2: Convert to fraction form
    465,648.43/701,584.16 = 420,721.97/x
  3. Step 3: Cross multiply
    465,648.43x = 701,584.16 × 420,721.97
  4. Step 4: Simplify right side
    465,648.43x = 295,171,869,916.00
  5. Step 5: Solve for x
    x = 295,171,869,916.00/465,648.43
  6. Step 6: Final answer
    x = 633,894.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.