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Finding the Fourth Proportional to 417,716.88, 625,786.20 and 323,762.64

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Solution

The fourth proportional to 417,716.88, 625,786.20 and 323,762.64 is: 485,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,716.88 : 625,786.20 = 323,762.64 : x
  2. Step 2: Convert to fraction form
    417,716.88/625,786.20 = 323,762.64/x
  3. Step 3: Cross multiply
    417,716.88x = 625,786.20 × 323,762.64
  4. Step 4: Simplify right side
    417,716.88x = 202,606,192,187.57
  5. Step 5: Solve for x
    x = 202,606,192,187.57/417,716.88
  6. Step 6: Final answer
    x = 485,032.33

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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.