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Finding the Fourth Proportional to 511,537.80, 705,912.84 and 282,116.28

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Solution

The fourth proportional to 511,537.80, 705,912.84 and 282,116.28 is: 389,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,537.80 : 705,912.84 = 282,116.28 : x
  2. Step 2: Convert to fraction form
    511,537.80/705,912.84 = 282,116.28/x
  3. Step 3: Cross multiply
    511,537.80x = 705,912.84 × 282,116.28
  4. Step 4: Simplify right side
    511,537.80x = 199,149,504,425.04
  5. Step 5: Solve for x
    x = 199,149,504,425.04/511,537.80
  6. Step 6: Final answer
    x = 389,315.32

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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.