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Finding the Fourth Proportional to 449,298.68, 674,093.84 and 133,758.32

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Solution

The fourth proportional to 449,298.68, 674,093.84 and 133,758.32 is: 200,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,298.68 : 674,093.84 = 133,758.32 : x
  2. Step 2: Convert to fraction form
    449,298.68/674,093.84 = 133,758.32/x
  3. Step 3: Cross multiply
    449,298.68x = 674,093.84 × 133,758.32
  4. Step 4: Simplify right side
    449,298.68x = 90,165,659,560.75
  5. Step 5: Solve for x
    x = 90,165,659,560.75/449,298.68
  6. Step 6: Final answer
    x = 200,680.89

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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.