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Finding the Fourth Proportional to 349,002.86, 481,648.83 and 198,109.58

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Solution

The fourth proportional to 349,002.86, 481,648.83 and 198,109.58 is: 273,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,002.86 : 481,648.83 = 198,109.58 : x
  2. Step 2: Convert to fraction form
    349,002.86/481,648.83 = 198,109.58/x
  3. Step 3: Cross multiply
    349,002.86x = 481,648.83 × 198,109.58
  4. Step 4: Simplify right side
    349,002.86x = 95,419,247,418.79
  5. Step 5: Solve for x
    x = 95,419,247,418.79/349,002.86
  6. Step 6: Final answer
    x = 273,405.35

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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.