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Finding the Fourth Proportional to 300,420.56, 414,573.96 and 164,450.96

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Solution

The fourth proportional to 300,420.56, 414,573.96 and 164,450.96 is: 226,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,420.56 : 414,573.96 = 164,450.96 : x
  2. Step 2: Convert to fraction form
    300,420.56/414,573.96 = 164,450.96/x
  3. Step 3: Cross multiply
    300,420.56x = 414,573.96 × 164,450.96
  4. Step 4: Simplify right side
    300,420.56x = 68,177,085,713.00
  5. Step 5: Solve for x
    x = 68,177,085,713.00/300,420.56
  6. Step 6: Final answer
    x = 226,938.81

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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.