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Finding the Fourth Proportional to 275,806.80, 413,807.40 and 266,086.80

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Solution

The fourth proportional to 275,806.80, 413,807.40 and 266,086.80 is: 399,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,806.80 : 413,807.40 = 266,086.80 : x
  2. Step 2: Convert to fraction form
    275,806.80/413,807.40 = 266,086.80/x
  3. Step 3: Cross multiply
    275,806.80x = 413,807.40 × 266,086.80
  4. Step 4: Simplify right side
    275,806.80x = 110,108,686,882.32
  5. Step 5: Solve for x
    x = 110,108,686,882.32/275,806.80
  6. Step 6: Final answer
    x = 399,223.97

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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.