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Finding the Fourth Proportional to 299,093.14, 448,850.13 and 270,507.25

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Solution

The fourth proportional to 299,093.14, 448,850.13 and 270,507.25 is: 405,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,093.14 : 448,850.13 = 270,507.25 : x
  2. Step 2: Convert to fraction form
    299,093.14/448,850.13 = 270,507.25/x
  3. Step 3: Cross multiply
    299,093.14x = 448,850.13 × 270,507.25
  4. Step 4: Simplify right side
    299,093.14x = 121,417,214,328.44
  5. Step 5: Solve for x
    x = 121,417,214,328.44/299,093.14
  6. Step 6: Final answer
    x = 405,951.18

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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.