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Finding the Fourth Proportional to 283,037.48, 424,753.05 and 182,949.42

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Solution

The fourth proportional to 283,037.48, 424,753.05 and 182,949.42 is: 274,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,037.48 : 424,753.05 = 182,949.42 : x
  2. Step 2: Convert to fraction form
    283,037.48/424,753.05 = 182,949.42/x
  3. Step 3: Cross multiply
    283,037.48x = 424,753.05 × 182,949.42
  4. Step 4: Simplify right side
    283,037.48x = 77,708,324,140.73
  5. Step 5: Solve for x
    x = 77,708,324,140.73/283,037.48
  6. Step 6: Final answer
    x = 274,551.36

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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.