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Finding the Fourth Proportional to 289,792.98, 399,766.05 and 193,163.22

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Solution

The fourth proportional to 289,792.98, 399,766.05 and 193,163.22 is: 266,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,792.98 : 399,766.05 = 193,163.22 : x
  2. Step 2: Convert to fraction form
    289,792.98/399,766.05 = 193,163.22/x
  3. Step 3: Cross multiply
    289,792.98x = 399,766.05 × 193,163.22
  4. Step 4: Simplify right side
    289,792.98x = 77,220,097,464.68
  5. Step 5: Solve for x
    x = 77,220,097,464.68/289,792.98
  6. Step 6: Final answer
    x = 266,466.42

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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.