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Finding the Fourth Proportional to 283,863.22, 425,312.82 and 171,306.94

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Solution

The fourth proportional to 283,863.22, 425,312.82 and 171,306.94 is: 256,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,863.22 : 425,312.82 = 171,306.94 : x
  2. Step 2: Convert to fraction form
    283,863.22/425,312.82 = 171,306.94/x
  3. Step 3: Cross multiply
    283,863.22x = 425,312.82 × 171,306.94
  4. Step 4: Simplify right side
    283,863.22x = 72,859,037,736.97
  5. Step 5: Solve for x
    x = 72,859,037,736.97/283,863.22
  6. Step 6: Final answer
    x = 256,669.52

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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.