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Finding the Fourth Proportional to 399,667.82, 599,797 and 189,305.76

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Solution

The fourth proportional to 399,667.82, 599,797 and 189,305.76 is: 284,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,667.82 : 599,797 = 189,305.76 : x
  2. Step 2: Convert to fraction form
    399,667.82/599,797 = 189,305.76/x
  3. Step 3: Cross multiply
    399,667.82x = 599,797 × 189,305.76
  4. Step 4: Simplify right side
    399,667.82x = 113,545,026,930.72
  5. Step 5: Solve for x
    x = 113,545,026,930.72/399,667.82
  6. Step 6: Final answer
    x = 284,098.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.