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Finding the Fourth Proportional to 305,778.51, 458,832.74 and 179,665.16

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Solution

The fourth proportional to 305,778.51, 458,832.74 and 179,665.16 is: 269,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,778.51 : 458,832.74 = 179,665.16 : x
  2. Step 2: Convert to fraction form
    305,778.51/458,832.74 = 179,665.16/x
  3. Step 3: Cross multiply
    305,778.51x = 458,832.74 × 179,665.16
  4. Step 4: Simplify right side
    305,778.51x = 82,436,254,452.85
  5. Step 5: Solve for x
    x = 82,436,254,452.85/305,778.51
  6. Step 6: Final answer
    x = 269,594.66

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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.