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Finding the Fourth Proportional to 511,439.36, 705,456.96 and 339,353.60

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Solution

The fourth proportional to 511,439.36, 705,456.96 and 339,353.60 is: 468,089.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,439.36 : 705,456.96 = 339,353.60 : x
  2. Step 2: Convert to fraction form
    511,439.36/705,456.96 = 339,353.60/x
  3. Step 3: Cross multiply
    511,439.36x = 705,456.96 × 339,353.60
  4. Step 4: Simplify right side
    511,439.36x = 239,399,359,021.06
  5. Step 5: Solve for x
    x = 239,399,359,021.06/511,439.36
  6. Step 6: Final answer
    x = 468,089.43

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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.