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Finding the Fourth Proportional to 273,248.56, 409,826.49 and 73,524.43

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Solution

The fourth proportional to 273,248.56, 409,826.49 and 73,524.43 is: 110,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,248.56 : 409,826.49 = 73,524.43 : x
  2. Step 2: Convert to fraction form
    273,248.56/409,826.49 = 73,524.43/x
  3. Step 3: Cross multiply
    273,248.56x = 409,826.49 × 73,524.43
  4. Step 4: Simplify right side
    273,248.56x = 30,132,260,465.35
  5. Step 5: Solve for x
    x = 30,132,260,465.35/273,248.56
  6. Step 6: Final answer
    x = 110,274.18

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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.