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Finding the Fourth Proportional to 613,190.98, 919,909.50 and 213,724.50

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Solution

The fourth proportional to 613,190.98, 919,909.50 and 213,724.50 is: 320,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,190.98 : 919,909.50 = 213,724.50 : x
  2. Step 2: Convert to fraction form
    613,190.98/919,909.50 = 213,724.50/x
  3. Step 3: Cross multiply
    613,190.98x = 919,909.50 × 213,724.50
  4. Step 4: Simplify right side
    613,190.98x = 196,607,197,932.75
  5. Step 5: Solve for x
    x = 196,607,197,932.75/613,190.98
  6. Step 6: Final answer
    x = 320,629.63

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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.