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Finding the Fourth Proportional to 298,739.60, 412,255.44 and 162,774.68

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Solution

The fourth proportional to 298,739.60, 412,255.44 and 162,774.68 is: 224,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,739.60 : 412,255.44 = 162,774.68 : x
  2. Step 2: Convert to fraction form
    298,739.60/412,255.44 = 162,774.68/x
  3. Step 3: Cross multiply
    298,739.60x = 412,255.44 × 162,774.68
  4. Step 4: Simplify right side
    298,739.60x = 67,104,747,324.26
  5. Step 5: Solve for x
    x = 67,104,747,324.26/298,739.60
  6. Step 6: Final answer
    x = 224,626.22

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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.