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Finding the Fourth Proportional to 300,463.58, 414,638.96 and 164,496.37

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Solution

The fourth proportional to 300,463.58, 414,638.96 and 164,496.37 is: 227,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,463.58 : 414,638.96 = 164,496.37 : x
  2. Step 2: Convert to fraction form
    300,463.58/414,638.96 = 164,496.37/x
  3. Step 3: Cross multiply
    300,463.58x = 414,638.96 × 164,496.37
  4. Step 4: Simplify right side
    300,463.58x = 68,206,603,780.58
  5. Step 5: Solve for x
    x = 68,206,603,780.58/300,463.58
  6. Step 6: Final answer
    x = 227,004.56

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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.