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Finding the Fourth Proportional to 298,813.94, 412,363.24 and 164,677.94

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Solution

The fourth proportional to 298,813.94, 412,363.24 and 164,677.94 is: 227,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,813.94 : 412,363.24 = 164,677.94 : x
  2. Step 2: Convert to fraction form
    298,813.94/412,363.24 = 164,677.94/x
  3. Step 3: Cross multiply
    298,813.94x = 412,363.24 × 164,677.94
  4. Step 4: Simplify right side
    298,813.94x = 67,907,128,071.54
  5. Step 5: Solve for x
    x = 67,907,128,071.54/298,813.94
  6. Step 6: Final answer
    x = 227,255.56

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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.