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Finding the Fourth Proportional to 275,223.20, 412,834.80 and 164,631.20

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Solution

The fourth proportional to 275,223.20, 412,834.80 and 164,631.20 is: 246,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,223.20 : 412,834.80 = 164,631.20 : x
  2. Step 2: Convert to fraction form
    275,223.20/412,834.80 = 164,631.20/x
  3. Step 3: Cross multiply
    275,223.20x = 412,834.80 × 164,631.20
  4. Step 4: Simplify right side
    275,223.20x = 67,965,488,525.76
  5. Step 5: Solve for x
    x = 67,965,488,525.76/275,223.20
  6. Step 6: Final answer
    x = 246,946.80

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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.