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Finding the Fourth Proportional to 365,233.31, 504,020.86 and 204,088.51

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Solution

The fourth proportional to 365,233.31, 504,020.86 and 204,088.51 is: 281,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,233.31 : 504,020.86 = 204,088.51 : x
  2. Step 2: Convert to fraction form
    365,233.31/504,020.86 = 204,088.51/x
  3. Step 3: Cross multiply
    365,233.31x = 504,020.86 × 204,088.51
  4. Step 4: Simplify right side
    365,233.31x = 102,864,864,556.05
  5. Step 5: Solve for x
    x = 102,864,864,556.05/365,233.31
  6. Step 6: Final answer
    x = 281,641.52

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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.