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Finding the Fourth Proportional to 321,901.76, 444,245.66 and 185,941.44

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Solution

The fourth proportional to 321,901.76, 444,245.66 and 185,941.44 is: 256,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,901.76 : 444,245.66 = 185,941.44 : x
  2. Step 2: Convert to fraction form
    321,901.76/444,245.66 = 185,941.44/x
  3. Step 3: Cross multiply
    321,901.76x = 444,245.66 × 185,941.44
  4. Step 4: Simplify right side
    321,901.76x = 82,603,677,734.15
  5. Step 5: Solve for x
    x = 82,603,677,734.15/321,901.76
  6. Step 6: Final answer
    x = 256,611.45

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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.