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Finding the Fourth Proportional to 682,722.54, 1,024,379.06 and 261,900

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Solution

The fourth proportional to 682,722.54, 1,024,379.06 and 261,900 is: 392,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,722.54 : 1,024,379.06 = 261,900 : x
  2. Step 2: Convert to fraction form
    682,722.54/1,024,379.06 = 261,900/x
  3. Step 3: Cross multiply
    682,722.54x = 1,024,379.06 × 261,900
  4. Step 4: Simplify right side
    682,722.54x = 268,284,874,504.50
  5. Step 5: Solve for x
    x = 268,284,874,504.50/682,722.54
  6. Step 6: Final answer
    x = 392,963.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.