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Finding the Fourth Proportional to 275,876.80, 413,815.20 and 275,876.80

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Solution

The fourth proportional to 275,876.80, 413,815.20 and 275,876.80 is: 413,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,876.80 : 413,815.20 = 275,876.80 : x
  2. Step 2: Convert to fraction form
    275,876.80/413,815.20 = 275,876.80/x
  3. Step 3: Cross multiply
    275,876.80x = 413,815.20 × 275,876.80
  4. Step 4: Simplify right side
    275,876.80x = 114,162,013,167.36
  5. Step 5: Solve for x
    x = 114,162,013,167.36/275,876.80
  6. Step 6: Final answer
    x = 413,815.20

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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.