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Finding the Fourth Proportional to 273,474.36, 410,254.92 and 115,704

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Solution

The fourth proportional to 273,474.36, 410,254.92 and 115,704 is: 173,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,474.36 : 410,254.92 = 115,704 : x
  2. Step 2: Convert to fraction form
    273,474.36/410,254.92 = 115,704/x
  3. Step 3: Cross multiply
    273,474.36x = 410,254.92 × 115,704
  4. Step 4: Simplify right side
    273,474.36x = 47,468,135,263.68
  5. Step 5: Solve for x
    x = 47,468,135,263.68/273,474.36
  6. Step 6: Final answer
    x = 173,574.35

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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.