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Finding the Fourth Proportional to 414,096.40, 619,832.40 and 295,998.40

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Solution

The fourth proportional to 414,096.40, 619,832.40 and 295,998.40 is: 443,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,096.40 : 619,832.40 = 295,998.40 : x
  2. Step 2: Convert to fraction form
    414,096.40/619,832.40 = 295,998.40/x
  3. Step 3: Cross multiply
    414,096.40x = 619,832.40 × 295,998.40
  4. Step 4: Simplify right side
    414,096.40x = 183,469,398,668.16
  5. Step 5: Solve for x
    x = 183,469,398,668.16/414,096.40
  6. Step 6: Final answer
    x = 443,059.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.