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Finding the Fourth Proportional to 286,353.94, 395,462.40 and 214,620.34

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Solution

The fourth proportional to 286,353.94, 395,462.40 and 214,620.34 is: 296,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,353.94 : 395,462.40 = 214,620.34 : x
  2. Step 2: Convert to fraction form
    286,353.94/395,462.40 = 214,620.34/x
  3. Step 3: Cross multiply
    286,353.94x = 395,462.40 × 214,620.34
  4. Step 4: Simplify right side
    286,353.94x = 84,874,274,745.22
  5. Step 5: Solve for x
    x = 84,874,274,745.22/286,353.94
  6. Step 6: Final answer
    x = 296,396.39

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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.