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Finding the Fourth Proportional to 419,716.80, 579,192.30 and 228,726.09

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Solution

The fourth proportional to 419,716.80, 579,192.30 and 228,726.09 is: 315,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,716.80 : 579,192.30 = 228,726.09 : x
  2. Step 2: Convert to fraction form
    419,716.80/579,192.30 = 228,726.09/x
  3. Step 3: Cross multiply
    419,716.80x = 579,192.30 × 228,726.09
  4. Step 4: Simplify right side
    419,716.80x = 132,476,390,137.11
  5. Step 5: Solve for x
    x = 132,476,390,137.11/419,716.80
  6. Step 6: Final answer
    x = 315,632.80

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