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Finding the Fourth Proportional to 307,550.80, 461,326.20 and 266,078.80

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Solution

The fourth proportional to 307,550.80, 461,326.20 and 266,078.80 is: 399,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,550.80 : 461,326.20 = 266,078.80 : x
  2. Step 2: Convert to fraction form
    307,550.80/461,326.20 = 266,078.80/x
  3. Step 3: Cross multiply
    307,550.80x = 461,326.20 × 266,078.80
  4. Step 4: Simplify right side
    307,550.80x = 122,749,121,704.56
  5. Step 5: Solve for x
    x = 122,749,121,704.56/307,550.80
  6. Step 6: Final answer
    x = 399,118.20

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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.