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Finding the Fourth Proportional to 358,161.50, 494,230.46 and 197,023.34

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Solution

The fourth proportional to 358,161.50, 494,230.46 and 197,023.34 is: 271,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,161.50 : 494,230.46 = 197,023.34 : x
  2. Step 2: Convert to fraction form
    358,161.50/494,230.46 = 197,023.34/x
  3. Step 3: Cross multiply
    358,161.50x = 494,230.46 × 197,023.34
  4. Step 4: Simplify right side
    358,161.50x = 97,374,935,958.94
  5. Step 5: Solve for x
    x = 97,374,935,958.94/358,161.50
  6. Step 6: Final answer
    x = 271,874.38

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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.