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Finding the Fourth Proportional to 299,423.70, 449,135.55 and 204,945.30

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Solution

The fourth proportional to 299,423.70, 449,135.55 and 204,945.30 is: 307,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,423.70 : 449,135.55 = 204,945.30 : x
  2. Step 2: Convert to fraction form
    299,423.70/449,135.55 = 204,945.30/x
  3. Step 3: Cross multiply
    299,423.70x = 449,135.55 × 204,945.30
  4. Step 4: Simplify right side
    299,423.70x = 92,048,220,035.42
  5. Step 5: Solve for x
    x = 92,048,220,035.42/299,423.70
  6. Step 6: Final answer
    x = 307,417.95

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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.