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Finding the Fourth Proportional to 349,381.91, 482,144.12 and 196,420.77

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Solution

The fourth proportional to 349,381.91, 482,144.12 and 196,420.77 is: 271,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,381.91 : 482,144.12 = 196,420.77 : x
  2. Step 2: Convert to fraction form
    349,381.91/482,144.12 = 196,420.77/x
  3. Step 3: Cross multiply
    349,381.91x = 482,144.12 × 196,420.77
  4. Step 4: Simplify right side
    349,381.91x = 94,703,120,964.31
  5. Step 5: Solve for x
    x = 94,703,120,964.31/349,381.91
  6. Step 6: Final answer
    x = 271,059.03

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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.