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Finding the Fourth Proportional to 273,826.46, 410,894.34 and 147,464.03

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Solution

The fourth proportional to 273,826.46, 410,894.34 and 147,464.03 is: 221,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,826.46 : 410,894.34 = 147,464.03 : x
  2. Step 2: Convert to fraction form
    273,826.46/410,894.34 = 147,464.03/x
  3. Step 3: Cross multiply
    273,826.46x = 410,894.34 × 147,464.03
  4. Step 4: Simplify right side
    273,826.46x = 60,592,135,754.84
  5. Step 5: Solve for x
    x = 60,592,135,754.84/273,826.46
  6. Step 6: Final answer
    x = 221,279.33

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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.