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Finding the Fourth Proportional to 419,794.56, 579,325.68 and 228,817.44

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Solution

The fourth proportional to 419,794.56, 579,325.68 and 228,817.44 is: 315,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,794.56 : 579,325.68 = 228,817.44 : x
  2. Step 2: Convert to fraction form
    419,794.56/579,325.68 = 228,817.44/x
  3. Step 3: Cross multiply
    419,794.56x = 579,325.68 × 228,817.44
  4. Step 4: Simplify right side
    419,794.56x = 132,559,819,023.86
  5. Step 5: Solve for x
    x = 132,559,819,023.86/419,794.56
  6. Step 6: Final answer
    x = 315,773.07

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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.