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Finding the Fourth Proportional to 276,403.77, 414,581.76 and 168,305.22

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Solution

The fourth proportional to 276,403.77, 414,581.76 and 168,305.22 is: 252,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,403.77 : 414,581.76 = 168,305.22 : x
  2. Step 2: Convert to fraction form
    276,403.77/414,581.76 = 168,305.22/x
  3. Step 3: Cross multiply
    276,403.77x = 414,581.76 × 168,305.22
  4. Step 4: Simplify right side
    276,403.77x = 69,776,274,324.79
  5. Step 5: Solve for x
    x = 69,776,274,324.79/276,403.77
  6. Step 6: Final answer
    x = 252,443.28

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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.