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Finding the Fourth Proportional to 515,424.09, 711,324.21 and 286,024.80

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Solution

The fourth proportional to 515,424.09, 711,324.21 and 286,024.80 is: 394,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,424.09 : 711,324.21 = 286,024.80 : x
  2. Step 2: Convert to fraction form
    515,424.09/711,324.21 = 286,024.80/x
  3. Step 3: Cross multiply
    515,424.09x = 711,324.21 × 286,024.80
  4. Step 4: Simplify right side
    515,424.09x = 203,456,364,900.41
  5. Step 5: Solve for x
    x = 203,456,364,900.41/515,424.09
  6. Step 6: Final answer
    x = 394,735.85

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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.