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Finding the Fourth Proportional to 349,246.20, 523,942.20 and 199,363.80

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Solution

The fourth proportional to 349,246.20, 523,942.20 and 199,363.80 is: 299,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,246.20 : 523,942.20 = 199,363.80 : x
  2. Step 2: Convert to fraction form
    349,246.20/523,942.20 = 199,363.80/x
  3. Step 3: Cross multiply
    349,246.20x = 523,942.20 × 199,363.80
  4. Step 4: Simplify right side
    349,246.20x = 104,455,107,972.36
  5. Step 5: Solve for x
    x = 104,455,107,972.36/349,246.20
  6. Step 6: Final answer
    x = 299,087.31

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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.