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Finding the Fourth Proportional to 285,662.70, 394,200.72 and 164,842.74

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Solution

The fourth proportional to 285,662.70, 394,200.72 and 164,842.74 is: 227,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,662.70 : 394,200.72 = 164,842.74 : x
  2. Step 2: Convert to fraction form
    285,662.70/394,200.72 = 164,842.74/x
  3. Step 3: Cross multiply
    285,662.70x = 394,200.72 × 164,842.74
  4. Step 4: Simplify right side
    285,662.70x = 64,981,126,794.77
  5. Step 5: Solve for x
    x = 64,981,126,794.77/285,662.70
  6. Step 6: Final answer
    x = 227,475.01

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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.