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Finding the Fourth Proportional to 300,300.34, 414,414.49 and 164,334.28

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Solution

The fourth proportional to 300,300.34, 414,414.49 and 164,334.28 is: 226,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,300.34 : 414,414.49 = 164,334.28 : x
  2. Step 2: Convert to fraction form
    300,300.34/414,414.49 = 164,334.28/x
  3. Step 3: Cross multiply
    300,300.34x = 414,414.49 × 164,334.28
  4. Step 4: Simplify right side
    300,300.34x = 68,102,504,763.64
  5. Step 5: Solve for x
    x = 68,102,504,763.64/300,300.34
  6. Step 6: Final answer
    x = 226,781.31

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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.