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Finding the Fourth Proportional to 285,896.82, 428,735.80 and 96,306.24

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Solution

The fourth proportional to 285,896.82, 428,735.80 and 96,306.24 is: 144,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,896.82 : 428,735.80 = 96,306.24 : x
  2. Step 2: Convert to fraction form
    285,896.82/428,735.80 = 96,306.24/x
  3. Step 3: Cross multiply
    285,896.82x = 428,735.80 × 96,306.24
  4. Step 4: Simplify right side
    285,896.82x = 41,289,934,579.53
  5. Step 5: Solve for x
    x = 41,289,934,579.53/285,896.82
  6. Step 6: Final answer
    x = 144,422.50

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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.