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Finding the Fourth Proportional to 414,928.80, 622,306.80 and 178,279.20

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Solution

The fourth proportional to 414,928.80, 622,306.80 and 178,279.20 is: 267,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,928.80 : 622,306.80 = 178,279.20 : x
  2. Step 2: Convert to fraction form
    414,928.80/622,306.80 = 178,279.20/x
  3. Step 3: Cross multiply
    414,928.80x = 622,306.80 × 178,279.20
  4. Step 4: Simplify right side
    414,928.80x = 110,944,358,458.56
  5. Step 5: Solve for x
    x = 110,944,358,458.56/414,928.80
  6. Step 6: Final answer
    x = 267,381.68

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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.