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Finding the Fourth Proportional to 264,414.40, 396,622.40 and 185,880

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Solution

The fourth proportional to 264,414.40, 396,622.40 and 185,880 is: 278,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,414.40 : 396,622.40 = 185,880 : x
  2. Step 2: Convert to fraction form
    264,414.40/396,622.40 = 185,880/x
  3. Step 3: Cross multiply
    264,414.40x = 396,622.40 × 185,880
  4. Step 4: Simplify right side
    264,414.40x = 73,724,171,712
  5. Step 5: Solve for x
    x = 73,724,171,712/264,414.40
  6. Step 6: Final answer
    x = 278,820.56

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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.