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Finding the Fourth Proportional to 275,694.60, 413,323.20 and 151,035.60

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Solution

The fourth proportional to 275,694.60, 413,323.20 and 151,035.60 is: 226,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,694.60 : 413,323.20 = 151,035.60 : x
  2. Step 2: Convert to fraction form
    275,694.60/413,323.20 = 151,035.60/x
  3. Step 3: Cross multiply
    275,694.60x = 413,323.20 × 151,035.60
  4. Step 4: Simplify right side
    275,694.60x = 62,426,517,505.92
  5. Step 5: Solve for x
    x = 62,426,517,505.92/275,694.60
  6. Step 6: Final answer
    x = 226,433.59

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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.