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Finding the Fourth Proportional to 402,414.70, 603,694.95 and 202,231.30

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Solution

The fourth proportional to 402,414.70, 603,694.95 and 202,231.30 is: 303,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,414.70 : 603,694.95 = 202,231.30 : x
  2. Step 2: Convert to fraction form
    402,414.70/603,694.95 = 202,231.30/x
  3. Step 3: Cross multiply
    402,414.70x = 603,694.95 × 202,231.30
  4. Step 4: Simplify right side
    402,414.70x = 122,086,014,541.94
  5. Step 5: Solve for x
    x = 122,086,014,541.94/402,414.70
  6. Step 6: Final answer
    x = 303,383.59

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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.