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Finding the Fourth Proportional to 548,717.63, 823,224.33 and 228,763.17

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Solution

The fourth proportional to 548,717.63, 823,224.33 and 228,763.17 is: 343,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,717.63 : 823,224.33 = 228,763.17 : x
  2. Step 2: Convert to fraction form
    548,717.63/823,224.33 = 228,763.17/x
  3. Step 3: Cross multiply
    548,717.63x = 823,224.33 × 228,763.17
  4. Step 4: Simplify right side
    548,717.63x = 188,323,407,351.93
  5. Step 5: Solve for x
    x = 188,323,407,351.93/548,717.63
  6. Step 6: Final answer
    x = 343,206.41

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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.