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Finding the Fourth Proportional to 297,499.50, 410,508 and 174,997.44

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Solution

The fourth proportional to 297,499.50, 410,508 and 174,997.44 is: 241,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,499.50 : 410,508 = 174,997.44 : x
  2. Step 2: Convert to fraction form
    297,499.50/410,508 = 174,997.44/x
  3. Step 3: Cross multiply
    297,499.50x = 410,508 × 174,997.44
  4. Step 4: Simplify right side
    297,499.50x = 71,837,849,099.52
  5. Step 5: Solve for x
    x = 71,837,849,099.52/297,499.50
  6. Step 6: Final answer
    x = 241,472.17

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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.