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Finding the Fourth Proportional to 548,722.14, 823,231.08 and 228,767.67

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Solution

The fourth proportional to 548,722.14, 823,231.08 and 228,767.67 is: 343,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,722.14 : 823,231.08 = 228,767.67 : x
  2. Step 2: Convert to fraction form
    548,722.14/823,231.08 = 228,767.67/x
  3. Step 3: Cross multiply
    548,722.14x = 823,231.08 × 228,767.67
  4. Step 4: Simplify right side
    548,722.14x = 188,328,656,043.18
  5. Step 5: Solve for x
    x = 188,328,656,043.18/548,722.14
  6. Step 6: Final answer
    x = 343,213.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.