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Finding the Fourth Proportional to 321,583.14, 443,755.44 and 178,342.74

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Solution

The fourth proportional to 321,583.14, 443,755.44 and 178,342.74 is: 246,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,583.14 : 443,755.44 = 178,342.74 : x
  2. Step 2: Convert to fraction form
    321,583.14/443,755.44 = 178,342.74/x
  3. Step 3: Cross multiply
    321,583.14x = 443,755.44 × 178,342.74
  4. Step 4: Simplify right side
    321,583.14x = 79,140,561,059.51
  5. Step 5: Solve for x
    x = 79,140,561,059.51/321,583.14
  6. Step 6: Final answer
    x = 246,096.74

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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.