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Finding the Fourth Proportional to 298,806.49, 412,352.96 and 164,670.49

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Solution

The fourth proportional to 298,806.49, 412,352.96 and 164,670.49 is: 227,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,806.49 : 412,352.96 = 164,670.49 : x
  2. Step 2: Convert to fraction form
    298,806.49/412,352.96 = 164,670.49/x
  3. Step 3: Cross multiply
    298,806.49x = 412,352.96 × 164,670.49
  4. Step 4: Simplify right side
    298,806.49x = 67,902,363,976.15
  5. Step 5: Solve for x
    x = 67,902,363,976.15/298,806.49
  6. Step 6: Final answer
    x = 227,245.28

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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.