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Finding the Fourth Proportional to 283,811.63, 425,235.68 and 171,255.33

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Solution

The fourth proportional to 283,811.63, 425,235.68 and 171,255.33 is: 256,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,811.63 : 425,235.68 = 171,255.33 : x
  2. Step 2: Convert to fraction form
    283,811.63/425,235.68 = 171,255.33/x
  3. Step 3: Cross multiply
    283,811.63x = 425,235.68 × 171,255.33
  4. Step 4: Simplify right side
    283,811.63x = 72,823,876,706.17
  5. Step 5: Solve for x
    x = 72,823,876,706.17/283,811.63
  6. Step 6: Final answer
    x = 256,592.29

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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.