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Finding the Fourth Proportional to 354,363.69, 531,169.56 and 174,195.12

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Solution

The fourth proportional to 354,363.69, 531,169.56 and 174,195.12 is: 261,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,363.69 : 531,169.56 = 174,195.12 : x
  2. Step 2: Convert to fraction form
    354,363.69/531,169.56 = 174,195.12/x
  3. Step 3: Cross multiply
    354,363.69x = 531,169.56 × 174,195.12
  4. Step 4: Simplify right side
    354,363.69x = 92,527,145,244.55
  5. Step 5: Solve for x
    x = 92,527,145,244.55/354,363.69
  6. Step 6: Final answer
    x = 261,107.86

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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.