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Finding the Fourth Proportional to 503,997.94, 756,144.56 and 149,021.20

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Solution

The fourth proportional to 503,997.94, 756,144.56 and 149,021.20 is: 223,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,997.94 : 756,144.56 = 149,021.20 : x
  2. Step 2: Convert to fraction form
    503,997.94/756,144.56 = 149,021.20/x
  3. Step 3: Cross multiply
    503,997.94x = 756,144.56 × 149,021.20
  4. Step 4: Simplify right side
    503,997.94x = 112,681,569,704.67
  5. Step 5: Solve for x
    x = 112,681,569,704.67/503,997.94
  6. Step 6: Final answer
    x = 223,575.46

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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.