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Finding the Fourth Proportional to 301,914.48, 415,921.88 and 211,100.52

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Solution

The fourth proportional to 301,914.48, 415,921.88 and 211,100.52 is: 290,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,914.48 : 415,921.88 = 211,100.52 : x
  2. Step 2: Convert to fraction form
    301,914.48/415,921.88 = 211,100.52/x
  3. Step 3: Cross multiply
    301,914.48x = 415,921.88 × 211,100.52
  4. Step 4: Simplify right side
    301,914.48x = 87,801,325,147.38
  5. Step 5: Solve for x
    x = 87,801,325,147.38/301,914.48
  6. Step 6: Final answer
    x = 290,815.22

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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.