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Finding the Fourth Proportional to 365,047.56, 503,732.79 and 203,880.24

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Solution

The fourth proportional to 365,047.56, 503,732.79 and 203,880.24 is: 281,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,047.56 : 503,732.79 = 203,880.24 : x
  2. Step 2: Convert to fraction form
    365,047.56/503,732.79 = 203,880.24/x
  3. Step 3: Cross multiply
    365,047.56x = 503,732.79 × 203,880.24
  4. Step 4: Simplify right side
    365,047.56x = 102,701,162,121.07
  5. Step 5: Solve for x
    x = 102,701,162,121.07/365,047.56
  6. Step 6: Final answer
    x = 281,336.39

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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.