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Finding the Fourth Proportional to 419,843, 579,381.72 and 228,855.80

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Solution

The fourth proportional to 419,843, 579,381.72 and 228,855.80 is: 315,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,843 : 579,381.72 = 228,855.80 : x
  2. Step 2: Convert to fraction form
    419,843/579,381.72 = 228,855.80/x
  3. Step 3: Cross multiply
    419,843x = 579,381.72 × 228,855.80
  4. Step 4: Simplify right side
    419,843x = 132,594,867,035.98
  5. Step 5: Solve for x
    x = 132,594,867,035.98/419,843
  6. Step 6: Final answer
    x = 315,820.12

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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.