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Finding the Fourth Proportional to 298,913.34, 412,497.06 and 162,944.34

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Solution

The fourth proportional to 298,913.34, 412,497.06 and 162,944.34 is: 224,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,913.34 : 412,497.06 = 162,944.34 : x
  2. Step 2: Convert to fraction form
    298,913.34/412,497.06 = 162,944.34/x
  3. Step 3: Cross multiply
    298,913.34x = 412,497.06 × 162,944.34
  4. Step 4: Simplify right side
    298,913.34x = 67,214,061,193.64
  5. Step 5: Solve for x
    x = 67,214,061,193.64/298,913.34
  6. Step 6: Final answer
    x = 224,861.36

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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.