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Finding the Fourth Proportional to 419,731.40, 579,229.76 and 228,744.94

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Solution

The fourth proportional to 419,731.40, 579,229.76 and 228,744.94 is: 315,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,731.40 : 579,229.76 = 228,744.94 : x
  2. Step 2: Convert to fraction form
    419,731.40/579,229.76 = 228,744.94/x
  3. Step 3: Cross multiply
    419,731.40x = 579,229.76 × 228,744.94
  4. Step 4: Simplify right side
    419,731.40x = 132,495,876,697.41
  5. Step 5: Solve for x
    x = 132,495,876,697.41/419,731.40
  6. Step 6: Final answer
    x = 315,668.25

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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.