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Finding the Fourth Proportional to 275,727.80, 413,688.90 and 266,007.80

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Solution

The fourth proportional to 275,727.80, 413,688.90 and 266,007.80 is: 399,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,727.80 : 413,688.90 = 266,007.80 : x
  2. Step 2: Convert to fraction form
    275,727.80/413,688.90 = 266,007.80/x
  3. Step 3: Cross multiply
    275,727.80x = 413,688.90 × 266,007.80
  4. Step 4: Simplify right side
    275,727.80x = 110,044,474,173.42
  5. Step 5: Solve for x
    x = 110,044,474,173.42/275,727.80
  6. Step 6: Final answer
    x = 399,105.47

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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.