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Finding the Fourth Proportional to 354,207.76, 531,022.11 and 164,786.20

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Solution

The fourth proportional to 354,207.76, 531,022.11 and 164,786.20 is: 247,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,207.76 : 531,022.11 = 164,786.20 : x
  2. Step 2: Convert to fraction form
    354,207.76/531,022.11 = 164,786.20/x
  3. Step 3: Cross multiply
    354,207.76x = 531,022.11 × 164,786.20
  4. Step 4: Simplify right side
    354,207.76x = 87,505,115,622.88
  5. Step 5: Solve for x
    x = 87,505,115,622.88/354,207.76
  6. Step 6: Final answer
    x = 247,044.60

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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.