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Finding the Fourth Proportional to 419,748.09, 579,235.50 and 228,757.38

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Solution

The fourth proportional to 419,748.09, 579,235.50 and 228,757.38 is: 315,675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,748.09 : 579,235.50 = 228,757.38 : x
  2. Step 2: Convert to fraction form
    419,748.09/579,235.50 = 228,757.38/x
  3. Step 3: Cross multiply
    419,748.09x = 579,235.50 × 228,757.38
  4. Step 4: Simplify right side
    419,748.09x = 132,504,395,382.99
  5. Step 5: Solve for x
    x = 132,504,395,382.99/419,748.09
  6. Step 6: Final answer
    x = 315,675.99

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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.