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Finding the Fourth Proportional to 300,419.56, 414,566.49 and 164,450.13

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Solution

The fourth proportional to 300,419.56, 414,566.49 and 164,450.13 is: 226,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,419.56 : 414,566.49 = 164,450.13 : x
  2. Step 2: Convert to fraction form
    300,419.56/414,566.49 = 164,450.13/x
  3. Step 3: Cross multiply
    300,419.56x = 414,566.49 × 164,450.13
  4. Step 4: Simplify right side
    300,419.56x = 68,175,512,236.21
  5. Step 5: Solve for x
    x = 68,175,512,236.21/300,419.56
  6. Step 6: Final answer
    x = 226,934.33

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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.