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Finding the Fourth Proportional to 361,083.21, 541,738.17 and 217,154.67

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Solution

The fourth proportional to 361,083.21, 541,738.17 and 217,154.67 is: 325,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,083.21 : 541,738.17 = 217,154.67 : x
  2. Step 2: Convert to fraction form
    361,083.21/541,738.17 = 217,154.67/x
  3. Step 3: Cross multiply
    361,083.21x = 541,738.17 × 217,154.67
  4. Step 4: Simplify right side
    361,083.21x = 117,640,973,532.75
  5. Step 5: Solve for x
    x = 117,640,973,532.75/361,083.21
  6. Step 6: Final answer
    x = 325,800.18

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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.