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Finding the Fourth Proportional to 365,230.31, 504,016.72 and 204,085.51

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Solution

The fourth proportional to 365,230.31, 504,016.72 and 204,085.51 is: 281,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,230.31 : 504,016.72 = 204,085.51 : x
  2. Step 2: Convert to fraction form
    365,230.31/504,016.72 = 204,085.51/x
  3. Step 3: Cross multiply
    365,230.31x = 504,016.72 × 204,085.51
  4. Step 4: Simplify right side
    365,230.31x = 102,862,507,579.47
  5. Step 5: Solve for x
    x = 102,862,507,579.47/365,230.31
  6. Step 6: Final answer
    x = 281,637.38

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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.