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Finding the Fourth Proportional to 298,786.24, 412,321.26 and 162,826.12

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Solution

The fourth proportional to 298,786.24, 412,321.26 and 162,826.12 is: 224,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,786.24 : 412,321.26 = 162,826.12 : x
  2. Step 2: Convert to fraction form
    298,786.24/412,321.26 = 162,826.12/x
  3. Step 3: Cross multiply
    298,786.24x = 412,321.26 × 162,826.12
  4. Step 4: Simplify right side
    298,786.24x = 67,136,670,959.31
  5. Step 5: Solve for x
    x = 67,136,670,959.31/298,786.24
  6. Step 6: Final answer
    x = 224,698.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.