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Finding the Fourth Proportional to 295,712.94, 408,083.46 and 168,388.54

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Solution

The fourth proportional to 295,712.94, 408,083.46 and 168,388.54 is: 232,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,712.94 : 408,083.46 = 168,388.54 : x
  2. Step 2: Convert to fraction form
    295,712.94/408,083.46 = 168,388.54/x
  3. Step 3: Cross multiply
    295,712.94x = 408,083.46 × 168,388.54
  4. Step 4: Simplify right side
    295,712.94x = 68,716,578,027.55
  5. Step 5: Solve for x
    x = 68,716,578,027.55/295,712.94
  6. Step 6: Final answer
    x = 232,375.96

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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.