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Finding the Fourth Proportional to 414,950.80, 622,339.80 and 178,301.20

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Solution

The fourth proportional to 414,950.80, 622,339.80 and 178,301.20 is: 267,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,950.80 : 622,339.80 = 178,301.20 : x
  2. Step 2: Convert to fraction form
    414,950.80/622,339.80 = 178,301.20/x
  3. Step 3: Cross multiply
    414,950.80x = 622,339.80 × 178,301.20
  4. Step 4: Simplify right side
    414,950.80x = 110,963,933,147.76
  5. Step 5: Solve for x
    x = 110,963,933,147.76/414,950.80
  6. Step 6: Final answer
    x = 267,414.67

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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.