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Finding the Fourth Proportional to 511,273.57, 706,833 and 383,727.73

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Solution

The fourth proportional to 511,273.57, 706,833 and 383,727.73 is: 530,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,273.57 : 706,833 = 383,727.73 : x
  2. Step 2: Convert to fraction form
    511,273.57/706,833 = 383,727.73/x
  3. Step 3: Cross multiply
    511,273.57x = 706,833 × 383,727.73
  4. Step 4: Simplify right side
    511,273.57x = 271,231,422,579.09
  5. Step 5: Solve for x
    x = 271,231,422,579.09/511,273.57
  6. Step 6: Final answer
    x = 530,501.55

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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.