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Finding the Fourth Proportional to 365,133.20, 503,833.96 and 203,968.32

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Solution

The fourth proportional to 365,133.20, 503,833.96 and 203,968.32 is: 281,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,133.20 : 503,833.96 = 203,968.32 : x
  2. Step 2: Convert to fraction form
    365,133.20/503,833.96 = 203,968.32/x
  3. Step 3: Cross multiply
    365,133.20x = 503,833.96 × 203,968.32
  4. Step 4: Simplify right side
    365,133.20x = 102,766,166,380.15
  5. Step 5: Solve for x
    x = 102,766,166,380.15/365,133.20
  6. Step 6: Final answer
    x = 281,448.43

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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.