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Finding the Fourth Proportional to 299,467.30, 449,091.60 and 99,794.20

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Solution

The fourth proportional to 299,467.30, 449,091.60 and 99,794.20 is: 149,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,467.30 : 449,091.60 = 99,794.20 : x
  2. Step 2: Convert to fraction form
    299,467.30/449,091.60 = 99,794.20/x
  3. Step 3: Cross multiply
    299,467.30x = 449,091.60 × 99,794.20
  4. Step 4: Simplify right side
    299,467.30x = 44,816,736,948.72
  5. Step 5: Solve for x
    x = 44,816,736,948.72/299,467.30
  6. Step 6: Final answer
    x = 149,654.86

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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.