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Finding the Fourth Proportional to 419,824.50, 579,349.20 and 228,836.22

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Solution

The fourth proportional to 419,824.50, 579,349.20 and 228,836.22 is: 315,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,824.50 : 579,349.20 = 228,836.22 : x
  2. Step 2: Convert to fraction form
    419,824.50/579,349.20 = 228,836.22/x
  3. Step 3: Cross multiply
    419,824.50x = 579,349.20 × 228,836.22
  4. Step 4: Simplify right side
    419,824.50x = 132,576,080,988.02
  5. Step 5: Solve for x
    x = 132,576,080,988.02/419,824.50
  6. Step 6: Final answer
    x = 315,789.29

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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.