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Finding the Fourth Proportional to 419,161.46, 578,446.38 and 228,174.39

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Solution

The fourth proportional to 419,161.46, 578,446.38 and 228,174.39 is: 314,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,161.46 : 578,446.38 = 228,174.39 : x
  2. Step 2: Convert to fraction form
    419,161.46/578,446.38 = 228,174.39/x
  3. Step 3: Cross multiply
    419,161.46x = 578,446.38 × 228,174.39
  4. Step 4: Simplify right side
    419,161.46x = 131,986,649,904.21
  5. Step 5: Solve for x
    x = 131,986,649,904.21/419,161.46
  6. Step 6: Final answer
    x = 314,882.60

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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.