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Finding the Fourth Proportional to 414,948.80, 622,336.80 and 178,299.20

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Solution

The fourth proportional to 414,948.80, 622,336.80 and 178,299.20 is: 267,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,948.80 : 622,336.80 = 178,299.20 : x
  2. Step 2: Convert to fraction form
    414,948.80/622,336.80 = 178,299.20/x
  3. Step 3: Cross multiply
    414,948.80x = 622,336.80 × 178,299.20
  4. Step 4: Simplify right side
    414,948.80x = 110,962,153,570.56
  5. Step 5: Solve for x
    x = 110,962,153,570.56/414,948.80
  6. Step 6: Final answer
    x = 267,411.67

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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.