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Finding the Fourth Proportional to 511,969.35, 706,518 and 285,614.85

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Solution

The fourth proportional to 511,969.35, 706,518 and 285,614.85 is: 394,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,969.35 : 706,518 = 285,614.85 : x
  2. Step 2: Convert to fraction form
    511,969.35/706,518 = 285,614.85/x
  3. Step 3: Cross multiply
    511,969.35x = 706,518 × 285,614.85
  4. Step 4: Simplify right side
    511,969.35x = 201,792,032,592.30
  5. Step 5: Solve for x
    x = 201,792,032,592.30/511,969.35
  6. Step 6: Final answer
    x = 394,148.66

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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.