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Finding the Fourth Proportional to 349,768.48, 482,680.56 and 198,874.72

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Solution

The fourth proportional to 349,768.48, 482,680.56 and 198,874.72 is: 274,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,768.48 : 482,680.56 = 198,874.72 : x
  2. Step 2: Convert to fraction form
    349,768.48/482,680.56 = 198,874.72/x
  3. Step 3: Cross multiply
    349,768.48x = 482,680.56 × 198,874.72
  4. Step 4: Simplify right side
    349,768.48x = 95,992,961,219.44
  5. Step 5: Solve for x
    x = 95,992,961,219.44/349,768.48
  6. Step 6: Final answer
    x = 274,447.15

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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.