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Finding the Fourth Proportional to 300,034.40, 449,533.20 and 194,799.20

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Solution

The fourth proportional to 300,034.40, 449,533.20 and 194,799.20 is: 291,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,034.40 : 449,533.20 = 194,799.20 : x
  2. Step 2: Convert to fraction form
    300,034.40/449,533.20 = 194,799.20/x
  3. Step 3: Cross multiply
    300,034.40x = 449,533.20 × 194,799.20
  4. Step 4: Simplify right side
    300,034.40x = 87,568,707,733.44
  5. Step 5: Solve for x
    x = 87,568,707,733.44/300,034.40
  6. Step 6: Final answer
    x = 291,862.23

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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.