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Finding the Fourth Proportional to 369,051.43, 509,229.30 and 205,672.26

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Solution

The fourth proportional to 369,051.43, 509,229.30 and 205,672.26 is: 283,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,051.43 : 509,229.30 = 205,672.26 : x
  2. Step 2: Convert to fraction form
    369,051.43/509,229.30 = 205,672.26/x
  3. Step 3: Cross multiply
    369,051.43x = 509,229.30 × 205,672.26
  4. Step 4: Simplify right side
    369,051.43x = 104,734,339,850.88
  5. Step 5: Solve for x
    x = 104,734,339,850.88/369,051.43
  6. Step 6: Final answer
    x = 283,793.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.