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Finding the Fourth Proportional to 300,408.39, 414,562.97 and 164,442.37

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Solution

The fourth proportional to 300,408.39, 414,562.97 and 164,442.37 is: 226,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,408.39 : 414,562.97 = 164,442.37 : x
  2. Step 2: Convert to fraction form
    300,408.39/414,562.97 = 164,442.37/x
  3. Step 3: Cross multiply
    300,408.39x = 414,562.97 × 164,442.37
  4. Step 4: Simplify right side
    300,408.39x = 68,171,717,301.04
  5. Step 5: Solve for x
    x = 68,171,717,301.04/300,408.39
  6. Step 6: Final answer
    x = 226,930.14

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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.