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Finding the Fourth Proportional to 275,722.80, 413,681.40 and 266,002.80

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Solution

The fourth proportional to 275,722.80, 413,681.40 and 266,002.80 is: 399,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,722.80 : 413,681.40 = 266,002.80 : x
  2. Step 2: Convert to fraction form
    275,722.80/413,681.40 = 266,002.80/x
  3. Step 3: Cross multiply
    275,722.80x = 413,681.40 × 266,002.80
  4. Step 4: Simplify right side
    275,722.80x = 110,040,410,707.92
  5. Step 5: Solve for x
    x = 110,040,410,707.92/275,722.80
  6. Step 6: Final answer
    x = 399,097.97

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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.