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Finding the Fourth Proportional to 365,759.25, 504,748.52 and 204,617.00

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Solution

The fourth proportional to 365,759.25, 504,748.52 and 204,617.00 is: 282,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,759.25 : 504,748.52 = 204,617.00 : x
  2. Step 2: Convert to fraction form
    365,759.25/504,748.52 = 204,617.00/x
  3. Step 3: Cross multiply
    365,759.25x = 504,748.52 × 204,617.00
  4. Step 4: Simplify right side
    365,759.25x = 103,280,125,631.88
  5. Step 5: Solve for x
    x = 103,280,125,631.88/365,759.25
  6. Step 6: Final answer
    x = 282,371.87

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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.