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Finding the Fourth Proportional to 297,994.50, 411,232.41 and 163,858.50

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Solution

The fourth proportional to 297,994.50, 411,232.41 and 163,858.50 is: 226,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,994.50 : 411,232.41 = 163,858.50 : x
  2. Step 2: Convert to fraction form
    297,994.50/411,232.41 = 163,858.50/x
  3. Step 3: Cross multiply
    297,994.50x = 411,232.41 × 163,858.50
  4. Step 4: Simplify right side
    297,994.50x = 67,383,925,853.99
  5. Step 5: Solve for x
    x = 67,383,925,853.99/297,994.50
  6. Step 6: Final answer
    x = 226,124.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.