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Finding the Fourth Proportional to 273,443.85, 410,309.78 and 140,324.11

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Solution

The fourth proportional to 273,443.85, 410,309.78 and 140,324.11 is: 210,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,443.85 : 410,309.78 = 140,324.11 : x
  2. Step 2: Convert to fraction form
    273,443.85/410,309.78 = 140,324.11/x
  3. Step 3: Cross multiply
    273,443.85x = 410,309.78 × 140,324.11
  4. Step 4: Simplify right side
    273,443.85x = 57,576,354,702.80
  5. Step 5: Solve for x
    x = 57,576,354,702.80/273,443.85
  6. Step 6: Final answer
    x = 210,560.06

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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.