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Finding the Fourth Proportional to 321,743.68, 444,018.14 and 194,394.67

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Solution

The fourth proportional to 321,743.68, 444,018.14 and 194,394.67 is: 268,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,743.68 : 444,018.14 = 194,394.67 : x
  2. Step 2: Convert to fraction form
    321,743.68/444,018.14 = 194,394.67/x
  3. Step 3: Cross multiply
    321,743.68x = 444,018.14 × 194,394.67
  4. Step 4: Simplify right side
    321,743.68x = 86,314,758,446.28
  5. Step 5: Solve for x
    x = 86,314,758,446.28/321,743.68
  6. Step 6: Final answer
    x = 268,271.81

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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.