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Finding the Fourth Proportional to 299,410.20, 449,115.30 and 204,931.80

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Solution

The fourth proportional to 299,410.20, 449,115.30 and 204,931.80 is: 307,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,410.20 : 449,115.30 = 204,931.80 : x
  2. Step 2: Convert to fraction form
    299,410.20/449,115.30 = 204,931.80/x
  3. Step 3: Cross multiply
    299,410.20x = 449,115.30 × 204,931.80
  4. Step 4: Simplify right side
    299,410.20x = 92,038,006,836.54
  5. Step 5: Solve for x
    x = 92,038,006,836.54/299,410.20
  6. Step 6: Final answer
    x = 307,397.70

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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.