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Finding the Fourth Proportional to 365,832.24, 504,819.72 and 204,674.64

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Solution

The fourth proportional to 365,832.24, 504,819.72 and 204,674.64 is: 282,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,832.24 : 504,819.72 = 204,674.64 : x
  2. Step 2: Convert to fraction form
    365,832.24/504,819.72 = 204,674.64/x
  3. Step 3: Cross multiply
    365,832.24x = 504,819.72 × 204,674.64
  4. Step 4: Simplify right side
    365,832.24x = 103,323,794,455.90
  5. Step 5: Solve for x
    x = 103,323,794,455.90/365,832.24
  6. Step 6: Final answer
    x = 282,434.91

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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.