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Finding the Fourth Proportional to 321,878.24, 482,817.35 and 171,663.44

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Solution

The fourth proportional to 321,878.24, 482,817.35 and 171,663.44 is: 257,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,878.24 : 482,817.35 = 171,663.44 : x
  2. Step 2: Convert to fraction form
    321,878.24/482,817.35 = 171,663.44/x
  3. Step 3: Cross multiply
    321,878.24x = 482,817.35 × 171,663.44
  4. Step 4: Simplify right side
    321,878.24x = 82,882,086,334.37
  5. Step 5: Solve for x
    x = 82,882,086,334.37/321,878.24
  6. Step 6: Final answer
    x = 257,495.15

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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.