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Finding the Fourth Proportional to 541,017.70, 746,470.29 and 349,801

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Solution

The fourth proportional to 541,017.70, 746,470.29 and 349,801 is: 482,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,017.70 : 746,470.29 = 349,801 : x
  2. Step 2: Convert to fraction form
    541,017.70/746,470.29 = 349,801/x
  3. Step 3: Cross multiply
    541,017.70x = 746,470.29 × 349,801
  4. Step 4: Simplify right side
    541,017.70x = 261,116,053,912.29
  5. Step 5: Solve for x
    x = 261,116,053,912.29/541,017.70
  6. Step 6: Final answer
    x = 482,638.65

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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.