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Finding the Fourth Proportional to 328,556.90, 492,761 and 150,893.12

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Solution

The fourth proportional to 328,556.90, 492,761 and 150,893.12 is: 226,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,556.90 : 492,761 = 150,893.12 : x
  2. Step 2: Convert to fraction form
    328,556.90/492,761 = 150,893.12/x
  3. Step 3: Cross multiply
    328,556.90x = 492,761 × 150,893.12
  4. Step 4: Simplify right side
    328,556.90x = 74,354,244,704.32
  5. Step 5: Solve for x
    x = 74,354,244,704.32/328,556.90
  6. Step 6: Final answer
    x = 226,305.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.