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Finding the Fourth Proportional to 414,793.20, 622,034.28 and 178,014

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Solution

The fourth proportional to 414,793.20, 622,034.28 and 178,014 is: 266,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,793.20 : 622,034.28 = 178,014 : x
  2. Step 2: Convert to fraction form
    414,793.20/622,034.28 = 178,014/x
  3. Step 3: Cross multiply
    414,793.20x = 622,034.28 × 178,014
  4. Step 4: Simplify right side
    414,793.20x = 110,730,810,319.92
  5. Step 5: Solve for x
    x = 110,730,810,319.92/414,793.20
  6. Step 6: Final answer
    x = 266,954.26

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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.