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Finding the Fourth Proportional to 366,884.44, 506,302.04 and 214,028.33

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Solution

The fourth proportional to 366,884.44, 506,302.04 and 214,028.33 is: 295,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,884.44 : 506,302.04 = 214,028.33 : x
  2. Step 2: Convert to fraction form
    366,884.44/506,302.04 = 214,028.33/x
  3. Step 3: Cross multiply
    366,884.44x = 506,302.04 × 214,028.33
  4. Step 4: Simplify right side
    366,884.44x = 108,362,978,100.35
  5. Step 5: Solve for x
    x = 108,362,978,100.35/366,884.44
  6. Step 6: Final answer
    x = 295,359.97

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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.