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Finding the Fourth Proportional to 492,053.80, 738,143.22 and 192,495.97

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Solution

The fourth proportional to 492,053.80, 738,143.22 and 192,495.97 is: 288,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,053.80 : 738,143.22 = 192,495.97 : x
  2. Step 2: Convert to fraction form
    492,053.80/738,143.22 = 192,495.97/x
  3. Step 3: Cross multiply
    492,053.80x = 738,143.22 × 192,495.97
  4. Step 4: Simplify right side
    492,053.80x = 142,089,595,132.82
  5. Step 5: Solve for x
    x = 142,089,595,132.82/492,053.80
  6. Step 6: Final answer
    x = 288,768.41

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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.