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Finding the Fourth Proportional to 348,566, 522,816.20 and 111,910.73

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Solution

The fourth proportional to 348,566, 522,816.20 and 111,910.73 is: 167,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,566 : 522,816.20 = 111,910.73 : x
  2. Step 2: Convert to fraction form
    348,566/522,816.20 = 111,910.73/x
  3. Step 3: Cross multiply
    348,566x = 522,816.20 × 111,910.73
  4. Step 4: Simplify right side
    348,566x = 58,508,742,038.27
  5. Step 5: Solve for x
    x = 58,508,742,038.27/348,566
  6. Step 6: Final answer
    x = 167,855.56

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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.