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Finding the Fourth Proportional to 273,408.40, 410,134.02 and 73,725.76

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Solution

The fourth proportional to 273,408.40, 410,134.02 and 73,725.76 is: 110,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,408.40 : 410,134.02 = 73,725.76 : x
  2. Step 2: Convert to fraction form
    273,408.40/410,134.02 = 73,725.76/x
  3. Step 3: Cross multiply
    273,408.40x = 410,134.02 × 73,725.76
  4. Step 4: Simplify right side
    273,408.40x = 30,237,442,326.36
  5. Step 5: Solve for x
    x = 30,237,442,326.36/273,408.40
  6. Step 6: Final answer
    x = 110,594.42

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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.