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Finding the Fourth Proportional to 325,644.30, 488,536.11 and 100,999.80

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Solution

The fourth proportional to 325,644.30, 488,536.11 and 100,999.80 is: 151,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,644.30 : 488,536.11 = 100,999.80 : x
  2. Step 2: Convert to fraction form
    325,644.30/488,536.11 = 100,999.80/x
  3. Step 3: Cross multiply
    325,644.30x = 488,536.11 × 100,999.80
  4. Step 4: Simplify right side
    325,644.30x = 49,342,049,402.78
  5. Step 5: Solve for x
    x = 49,342,049,402.78/325,644.30
  6. Step 6: Final answer
    x = 151,521.31

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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.