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Finding the Fourth Proportional to 396,350.74, 594,524.02 and 96,833

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Solution

The fourth proportional to 396,350.74, 594,524.02 and 96,833 is: 145,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,350.74 : 594,524.02 = 96,833 : x
  2. Step 2: Convert to fraction form
    396,350.74/594,524.02 = 96,833/x
  3. Step 3: Cross multiply
    396,350.74x = 594,524.02 × 96,833
  4. Step 4: Simplify right side
    396,350.74x = 57,569,544,428.66
  5. Step 5: Solve for x
    x = 57,569,544,428.66/396,350.74
  6. Step 6: Final answer
    x = 145,248.99

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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.