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Finding the Fourth Proportional to 298,824.78, 412,378.26 and 162,858.84

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Solution

The fourth proportional to 298,824.78, 412,378.26 and 162,858.84 is: 224,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,824.78 : 412,378.26 = 162,858.84 : x
  2. Step 2: Convert to fraction form
    298,824.78/412,378.26 = 162,858.84/x
  3. Step 3: Cross multiply
    298,824.78x = 412,378.26 × 162,858.84
  4. Step 4: Simplify right side
    298,824.78x = 67,159,445,064.82
  5. Step 5: Solve for x
    x = 67,159,445,064.82/298,824.78
  6. Step 6: Final answer
    x = 224,745.23

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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.