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Finding the Fourth Proportional to 365,767.62, 504,735.57 and 204,595.08

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Solution

The fourth proportional to 365,767.62, 504,735.57 and 204,595.08 is: 282,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,767.62 : 504,735.57 = 204,595.08 : x
  2. Step 2: Convert to fraction form
    365,767.62/504,735.57 = 204,595.08/x
  3. Step 3: Cross multiply
    365,767.62x = 504,735.57 × 204,595.08
  4. Step 4: Simplify right side
    365,767.62x = 103,266,414,323.00
  5. Step 5: Solve for x
    x = 103,266,414,323.00/365,767.62
  6. Step 6: Final answer
    x = 282,327.93

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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.