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Finding the Fourth Proportional to 414,793.38, 622,522.26 and 190,259.58

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Solution

The fourth proportional to 414,793.38, 622,522.26 and 190,259.58 is: 285,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,793.38 : 622,522.26 = 190,259.58 : x
  2. Step 2: Convert to fraction form
    414,793.38/622,522.26 = 190,259.58/x
  3. Step 3: Cross multiply
    414,793.38x = 622,522.26 × 190,259.58
  4. Step 4: Simplify right side
    414,793.38x = 118,440,823,728.25
  5. Step 5: Solve for x
    x = 118,440,823,728.25/414,793.38
  6. Step 6: Final answer
    x = 285,541.74

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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.