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Finding the Fourth Proportional to 511,865.70, 706,372.58 and 282,437.26

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Solution

The fourth proportional to 511,865.70, 706,372.58 and 282,437.26 is: 389,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,865.70 : 706,372.58 = 282,437.26 : x
  2. Step 2: Convert to fraction form
    511,865.70/706,372.58 = 282,437.26/x
  3. Step 3: Cross multiply
    511,865.70x = 706,372.58 × 282,437.26
  4. Step 4: Simplify right side
    511,865.70x = 199,505,936,034.33
  5. Step 5: Solve for x
    x = 199,505,936,034.33/511,865.70
  6. Step 6: Final answer
    x = 389,762.27

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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.