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Finding the Fourth Proportional to 275,293.60, 413,183.40 and 162,833.20

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Solution

The fourth proportional to 275,293.60, 413,183.40 and 162,833.20 is: 244,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,293.60 : 413,183.40 = 162,833.20 : x
  2. Step 2: Convert to fraction form
    275,293.60/413,183.40 = 162,833.20/x
  3. Step 3: Cross multiply
    275,293.60x = 413,183.40 × 162,833.20
  4. Step 4: Simplify right side
    275,293.60x = 67,279,975,208.88
  5. Step 5: Solve for x
    x = 67,279,975,208.88/275,293.60
  6. Step 6: Final answer
    x = 244,393.53

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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.