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Finding the Fourth Proportional to 654,016.50, 902,789.40 and 382,172.77

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Solution

The fourth proportional to 654,016.50, 902,789.40 and 382,172.77 is: 527,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,016.50 : 902,789.40 = 382,172.77 : x
  2. Step 2: Convert to fraction form
    654,016.50/902,789.40 = 382,172.77/x
  3. Step 3: Cross multiply
    654,016.50x = 902,789.40 × 382,172.77
  4. Step 4: Simplify right side
    654,016.50x = 345,021,525,724.64
  5. Step 5: Solve for x
    x = 345,021,525,724.64/654,016.50
  6. Step 6: Final answer
    x = 527,542.54

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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.