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Finding the Fourth Proportional to 365,760, 504,749.55 and 204,617.75

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Solution

The fourth proportional to 365,760, 504,749.55 and 204,617.75 is: 282,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,760 : 504,749.55 = 204,617.75 : x
  2. Step 2: Convert to fraction form
    365,760/504,749.55 = 204,617.75/x
  3. Step 3: Cross multiply
    365,760x = 504,749.55 × 204,617.75
  4. Step 4: Simplify right side
    365,760x = 103,280,717,234.51
  5. Step 5: Solve for x
    x = 103,280,717,234.51/365,760
  6. Step 6: Final answer
    x = 282,372.91

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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.