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Finding the Fourth Proportional to 419,137.26, 578,385.96 and 228,139.26

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Solution

The fourth proportional to 419,137.26, 578,385.96 and 228,139.26 is: 314,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,137.26 : 578,385.96 = 228,139.26 : x
  2. Step 2: Convert to fraction form
    419,137.26/578,385.96 = 228,139.26/x
  3. Step 3: Cross multiply
    419,137.26x = 578,385.96 × 228,139.26
  4. Step 4: Simplify right side
    419,137.26x = 131,952,544,908.79
  5. Step 5: Solve for x
    x = 131,952,544,908.79/419,137.26
  6. Step 6: Final answer
    x = 314,819.41

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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.