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Finding the Fourth Proportional to 360,940.41, 541,223.72 and 192,415.47

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Solution

The fourth proportional to 360,940.41, 541,223.72 and 192,415.47 is: 288,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,940.41 : 541,223.72 = 192,415.47 : x
  2. Step 2: Convert to fraction form
    360,940.41/541,223.72 = 192,415.47/x
  3. Step 3: Cross multiply
    360,940.41x = 541,223.72 × 192,415.47
  4. Step 4: Simplify right side
    360,940.41x = 104,139,815,496.87
  5. Step 5: Solve for x
    x = 104,139,815,496.87/360,940.41
  6. Step 6: Final answer
    x = 288,523.57

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Why These Related Problems?

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