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Finding the Fourth Proportional to 299,234.10, 448,851.15 and 274,739.70

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Solution

The fourth proportional to 299,234.10, 448,851.15 and 274,739.70 is: 412,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,234.10 : 448,851.15 = 274,739.70 : x
  2. Step 2: Convert to fraction form
    299,234.10/448,851.15 = 274,739.70/x
  3. Step 3: Cross multiply
    299,234.10x = 448,851.15 × 274,739.70
  4. Step 4: Simplify right side
    299,234.10x = 123,317,230,295.66
  5. Step 5: Solve for x
    x = 123,317,230,295.66/299,234.10
  6. Step 6: Final answer
    x = 412,109.55

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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.