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Finding the Fourth Proportional to 285,924.54, 394,593.75 and 165,087.93

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Solution

The fourth proportional to 285,924.54, 394,593.75 and 165,087.93 is: 227,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,924.54 : 394,593.75 = 165,087.93 : x
  2. Step 2: Convert to fraction form
    285,924.54/394,593.75 = 165,087.93/x
  3. Step 3: Cross multiply
    285,924.54x = 394,593.75 × 165,087.93
  4. Step 4: Simplify right side
    285,924.54x = 65,142,665,378.44
  5. Step 5: Solve for x
    x = 65,142,665,378.44/285,924.54
  6. Step 6: Final answer
    x = 227,831.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.