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Finding the Fourth Proportional to 515,508.90, 711,383.59 and 286,076.20

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Solution

The fourth proportional to 515,508.90, 711,383.59 and 286,076.20 is: 394,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,508.90 : 711,383.59 = 286,076.20 : x
  2. Step 2: Convert to fraction form
    515,508.90/711,383.59 = 286,076.20/x
  3. Step 3: Cross multiply
    515,508.90x = 711,383.59 × 286,076.20
  4. Step 4: Simplify right side
    515,508.90x = 203,509,914,169.56
  5. Step 5: Solve for x
    x = 203,509,914,169.56/515,508.90
  6. Step 6: Final answer
    x = 394,774.78

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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.