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Finding the Fourth Proportional to 369,975.50, 510,569.85 and 200,213.27

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Solution

The fourth proportional to 369,975.50, 510,569.85 and 200,213.27 is: 276,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,975.50 : 510,569.85 = 200,213.27 : x
  2. Step 2: Convert to fraction form
    369,975.50/510,569.85 = 200,213.27/x
  3. Step 3: Cross multiply
    369,975.50x = 510,569.85 × 200,213.27
  4. Step 4: Simplify right side
    369,975.50x = 102,222,859,231.91
  5. Step 5: Solve for x
    x = 102,222,859,231.91/369,975.50
  6. Step 6: Final answer
    x = 276,296.29

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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.