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Finding the Fourth Proportional to 492,005.92, 738,112.56 and 159,556

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Solution

The fourth proportional to 492,005.92, 738,112.56 and 159,556 is: 239,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,005.92 : 738,112.56 = 159,556 : x
  2. Step 2: Convert to fraction form
    492,005.92/738,112.56 = 159,556/x
  3. Step 3: Cross multiply
    492,005.92x = 738,112.56 × 159,556
  4. Step 4: Simplify right side
    492,005.92x = 117,770,287,623.36
  5. Step 5: Solve for x
    x = 117,770,287,623.36/492,005.92
  6. Step 6: Final answer
    x = 239,367.62

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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.