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Finding the Fourth Proportional to 541,020.70, 746,474.42 and 349,804

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Solution

The fourth proportional to 541,020.70, 746,474.42 and 349,804 is: 482,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,020.70 : 746,474.42 = 349,804 : x
  2. Step 2: Convert to fraction form
    541,020.70/746,474.42 = 349,804/x
  3. Step 3: Cross multiply
    541,020.70x = 746,474.42 × 349,804
  4. Step 4: Simplify right side
    541,020.70x = 261,119,738,013.68
  5. Step 5: Solve for x
    x = 261,119,738,013.68/541,020.70
  6. Step 6: Final answer
    x = 482,642.79

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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.