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Finding the Fourth Proportional to 299,324.88, 449,006.72 and 88,945.20

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Solution

The fourth proportional to 299,324.88, 449,006.72 and 88,945.20 is: 133,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,324.88 : 449,006.72 = 88,945.20 : x
  2. Step 2: Convert to fraction form
    299,324.88/449,006.72 = 88,945.20/x
  3. Step 3: Cross multiply
    299,324.88x = 449,006.72 × 88,945.20
  4. Step 4: Simplify right side
    299,324.88x = 39,936,992,511.74
  5. Step 5: Solve for x
    x = 39,936,992,511.74/299,324.88
  6. Step 6: Final answer
    x = 133,423.56

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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.