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Finding the Fourth Proportional to 305,695.20, 458,542.80 and 165,727.20

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Solution

The fourth proportional to 305,695.20, 458,542.80 and 165,727.20 is: 248,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,695.20 : 458,542.80 = 165,727.20 : x
  2. Step 2: Convert to fraction form
    305,695.20/458,542.80 = 165,727.20/x
  3. Step 3: Cross multiply
    305,695.20x = 458,542.80 × 165,727.20
  4. Step 4: Simplify right side
    305,695.20x = 75,993,014,324.16
  5. Step 5: Solve for x
    x = 75,993,014,324.16/305,695.20
  6. Step 6: Final answer
    x = 248,590.80

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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.