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Finding the Fourth Proportional to 300,524.60, 414,711.14 and 164,556.12

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Solution

The fourth proportional to 300,524.60, 414,711.14 and 164,556.12 is: 227,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,524.60 : 414,711.14 = 164,556.12 : x
  2. Step 2: Convert to fraction form
    300,524.60/414,711.14 = 164,556.12/x
  3. Step 3: Cross multiply
    300,524.60x = 414,711.14 × 164,556.12
  4. Step 4: Simplify right side
    300,524.60x = 68,243,256,119.18
  5. Step 5: Solve for x
    x = 68,243,256,119.18/300,524.60
  6. Step 6: Final answer
    x = 227,080.43

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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.