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Finding the Fourth Proportional to 511,144.01, 705,383.50 and 281,709.48

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Solution

The fourth proportional to 511,144.01, 705,383.50 and 281,709.48 is: 388,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,144.01 : 705,383.50 = 281,709.48 : x
  2. Step 2: Convert to fraction form
    511,144.01/705,383.50 = 281,709.48/x
  3. Step 3: Cross multiply
    511,144.01x = 705,383.50 × 281,709.48
  4. Step 4: Simplify right side
    511,144.01x = 198,713,218,985.58
  5. Step 5: Solve for x
    x = 198,713,218,985.58/511,144.01
  6. Step 6: Final answer
    x = 388,761.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.