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Finding the Fourth Proportional to 511,969.72, 706,518.52 and 285,615.22

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Solution

The fourth proportional to 511,969.72, 706,518.52 and 285,615.22 is: 394,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,969.72 : 706,518.52 = 285,615.22 : x
  2. Step 2: Convert to fraction form
    511,969.72/706,518.52 = 285,615.22/x
  3. Step 3: Cross multiply
    511,969.72x = 706,518.52 × 285,615.22
  4. Step 4: Simplify right side
    511,969.72x = 201,792,443,576.13
  5. Step 5: Solve for x
    x = 201,792,443,576.13/511,969.72
  6. Step 6: Final answer
    x = 394,149.17

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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.