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Finding the Fourth Proportional to 664,231.30, 996,476.55 and 285,151.30

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Solution

The fourth proportional to 664,231.30, 996,476.55 and 285,151.30 is: 427,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,231.30 : 996,476.55 = 285,151.30 : x
  2. Step 2: Convert to fraction form
    664,231.30/996,476.55 = 285,151.30/x
  3. Step 3: Cross multiply
    664,231.30x = 996,476.55 × 285,151.30
  4. Step 4: Simplify right side
    664,231.30x = 284,146,583,652.02
  5. Step 5: Solve for x
    x = 284,146,583,652.02/664,231.30
  6. Step 6: Final answer
    x = 427,782.59

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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.