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Finding the Fourth Proportional to 300,296.25, 414,408.87 and 164,330.23

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Solution

The fourth proportional to 300,296.25, 414,408.87 and 164,330.23 is: 226,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,296.25 : 414,408.87 = 164,330.23 : x
  2. Step 2: Convert to fraction form
    300,296.25/414,408.87 = 164,330.23/x
  3. Step 3: Cross multiply
    300,296.25x = 414,408.87 × 164,330.23
  4. Step 4: Simplify right side
    300,296.25x = 68,099,904,921.14
  5. Step 5: Solve for x
    x = 68,099,904,921.14/300,296.25
  6. Step 6: Final answer
    x = 226,775.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.