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Finding the Fourth Proportional to 353,642.49, 530,469.24 and 196,867.41

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Solution

The fourth proportional to 353,642.49, 530,469.24 and 196,867.41 is: 295,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,642.49 : 530,469.24 = 196,867.41 : x
  2. Step 2: Convert to fraction form
    353,642.49/530,469.24 = 196,867.41/x
  3. Step 3: Cross multiply
    353,642.49x = 530,469.24 × 196,867.41
  4. Step 4: Simplify right side
    353,642.49x = 104,432,105,363.47
  5. Step 5: Solve for x
    x = 104,432,105,363.47/353,642.49
  6. Step 6: Final answer
    x = 295,304.18

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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.