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Finding the Fourth Proportional to 389,753.78, 584,647.07 and 123,524.80

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Solution

The fourth proportional to 389,753.78, 584,647.07 and 123,524.80 is: 185,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,753.78 : 584,647.07 = 123,524.80 : x
  2. Step 2: Convert to fraction form
    389,753.78/584,647.07 = 123,524.80/x
  3. Step 3: Cross multiply
    389,753.78x = 584,647.07 × 123,524.80
  4. Step 4: Simplify right side
    389,753.78x = 72,218,410,313.09
  5. Step 5: Solve for x
    x = 72,218,410,313.09/389,753.78
  6. Step 6: Final answer
    x = 185,292.39

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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.