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Finding the Fourth Proportional to 469,163.80, 647,449.41 and 254,305.36

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Solution

The fourth proportional to 469,163.80, 647,449.41 and 254,305.36 is: 350,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,163.80 : 647,449.41 = 254,305.36 : x
  2. Step 2: Convert to fraction form
    469,163.80/647,449.41 = 254,305.36/x
  3. Step 3: Cross multiply
    469,163.80x = 647,449.41 × 254,305.36
  4. Step 4: Simplify right side
    469,163.80x = 164,649,855,291.84
  5. Step 5: Solve for x
    x = 164,649,855,291.84/469,163.80
  6. Step 6: Final answer
    x = 350,943.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.