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Finding the Fourth Proportional to 300,523.60, 414,709.76 and 164,555.12

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Solution

The fourth proportional to 300,523.60, 414,709.76 and 164,555.12 is: 227,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,523.60 : 414,709.76 = 164,555.12 : x
  2. Step 2: Convert to fraction form
    300,523.60/414,709.76 = 164,555.12/x
  3. Step 3: Cross multiply
    300,523.60x = 414,709.76 × 164,555.12
  4. Step 4: Simplify right side
    300,523.60x = 68,242,614,321.97
  5. Step 5: Solve for x
    x = 68,242,614,321.97/300,523.60
  6. Step 6: Final answer
    x = 227,079.05

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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.