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Finding the Fourth Proportional to 289,922.44, 399,923.06 and 182,321.80

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Solution

The fourth proportional to 289,922.44, 399,923.06 and 182,321.80 is: 251,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,922.44 : 399,923.06 = 182,321.80 : x
  2. Step 2: Convert to fraction form
    289,922.44/399,923.06 = 182,321.80/x
  3. Step 3: Cross multiply
    289,922.44x = 399,923.06 × 182,321.80
  4. Step 4: Simplify right side
    289,922.44x = 72,914,692,160.71
  5. Step 5: Solve for x
    x = 72,914,692,160.71/289,922.44
  6. Step 6: Final answer
    x = 251,497.24

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