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Finding the Fourth Proportional to 298,955.25, 412,558.25 and 164,819.25

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Solution

The fourth proportional to 298,955.25, 412,558.25 and 164,819.25 is: 227,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,955.25 : 412,558.25 = 164,819.25 : x
  2. Step 2: Convert to fraction form
    298,955.25/412,558.25 = 164,819.25/x
  3. Step 3: Cross multiply
    298,955.25x = 412,558.25 × 164,819.25
  4. Step 4: Simplify right side
    298,955.25x = 67,997,540,522.22
  5. Step 5: Solve for x
    x = 67,997,540,522.22/298,955.25
  6. Step 6: Final answer
    x = 227,450.57

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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.