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Finding the Fourth Proportional to 298,883.37, 412,446.64 and 162,914.33

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Solution

The fourth proportional to 298,883.37, 412,446.64 and 162,914.33 is: 224,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,883.37 : 412,446.64 = 162,914.33 : x
  2. Step 2: Convert to fraction form
    298,883.37/412,446.64 = 162,914.33/x
  3. Step 3: Cross multiply
    298,883.37x = 412,446.64 × 162,914.33
  4. Step 4: Simplify right side
    298,883.37x = 67,193,468,016.35
  5. Step 5: Solve for x
    x = 67,193,468,016.35/298,883.37
  6. Step 6: Final answer
    x = 224,815.01

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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.