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Finding the Fourth Proportional to 365,404.63, 504,269.56 and 204,266.47

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Solution

The fourth proportional to 365,404.63, 504,269.56 and 204,266.47 is: 281,893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,404.63 : 504,269.56 = 204,266.47 : x
  2. Step 2: Convert to fraction form
    365,404.63/504,269.56 = 204,266.47/x
  3. Step 3: Cross multiply
    365,404.63x = 504,269.56 × 204,266.47
  4. Step 4: Simplify right side
    365,404.63x = 103,005,362,949.65
  5. Step 5: Solve for x
    x = 103,005,362,949.65/365,404.63
  6. Step 6: Final answer
    x = 281,893.97

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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.