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Finding the Fourth Proportional to 504,589, 756,883.50 and 205,232.44

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Solution

The fourth proportional to 504,589, 756,883.50 and 205,232.44 is: 307,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,589 : 756,883.50 = 205,232.44 : x
  2. Step 2: Convert to fraction form
    504,589/756,883.50 = 205,232.44/x
  3. Step 3: Cross multiply
    504,589x = 756,883.50 × 205,232.44
  4. Step 4: Simplify right side
    504,589x = 155,337,047,500.74
  5. Step 5: Solve for x
    x = 155,337,047,500.74/504,589
  6. Step 6: Final answer
    x = 307,848.66

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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.