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Finding the Fourth Proportional to 300,447.40, 414,616.78 and 164,480.25

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Solution

The fourth proportional to 300,447.40, 414,616.78 and 164,480.25 is: 226,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,447.40 : 414,616.78 = 164,480.25 : x
  2. Step 2: Convert to fraction form
    300,447.40/414,616.78 = 164,480.25/x
  3. Step 3: Cross multiply
    300,447.40x = 414,616.78 × 164,480.25
  4. Step 4: Simplify right side
    300,447.40x = 68,196,268,965.48
  5. Step 5: Solve for x
    x = 68,196,268,965.48/300,447.40
  6. Step 6: Final answer
    x = 226,982.39

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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.