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Finding the Fourth Proportional to 273,258.14, 409,856.42 and 73,593.14

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Solution

The fourth proportional to 273,258.14, 409,856.42 and 73,593.14 is: 110,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,258.14 : 409,856.42 = 73,593.14 : x
  2. Step 2: Convert to fraction form
    273,258.14/409,856.42 = 73,593.14/x
  3. Step 3: Cross multiply
    273,258.14x = 409,856.42 × 73,593.14
  4. Step 4: Simplify right side
    273,258.14x = 30,162,620,896.96
  5. Step 5: Solve for x
    x = 30,162,620,896.96/273,258.14
  6. Step 6: Final answer
    x = 110,381.42

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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.