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Finding the Fourth Proportional to 289,212.67, 433,254.02 and 199,239.49

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Solution

The fourth proportional to 289,212.67, 433,254.02 and 199,239.49 is: 298,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,212.67 : 433,254.02 = 199,239.49 : x
  2. Step 2: Convert to fraction form
    289,212.67/433,254.02 = 199,239.49/x
  3. Step 3: Cross multiply
    289,212.67x = 433,254.02 × 199,239.49
  4. Step 4: Simplify right side
    289,212.67x = 86,321,309,400.21
  5. Step 5: Solve for x
    x = 86,321,309,400.21/289,212.67
  6. Step 6: Final answer
    x = 298,470.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.