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Finding the Fourth Proportional to 300,241.28, 414,329.42 and 164,273.64

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Solution

The fourth proportional to 300,241.28, 414,329.42 and 164,273.64 is: 226,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,241.28 : 414,329.42 = 164,273.64 : x
  2. Step 2: Convert to fraction form
    300,241.28/414,329.42 = 164,273.64/x
  3. Step 3: Cross multiply
    300,241.28x = 414,329.42 × 164,273.64
  4. Step 4: Simplify right side
    300,241.28x = 68,063,401,982.49
  5. Step 5: Solve for x
    x = 68,063,401,982.49/300,241.28
  6. Step 6: Final answer
    x = 226,695.68

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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.