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Finding the Fourth Proportional to 654,409.26, 902,789.60 and 382,354.83

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Solution

The fourth proportional to 654,409.26, 902,789.60 and 382,354.83 is: 527,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,409.26 : 902,789.60 = 382,354.83 : x
  2. Step 2: Convert to fraction form
    654,409.26/902,789.60 = 382,354.83/x
  3. Step 3: Cross multiply
    654,409.26x = 902,789.60 × 382,354.83
  4. Step 4: Simplify right side
    654,409.26x = 345,185,962,121.99
  5. Step 5: Solve for x
    x = 345,185,962,121.99/654,409.26
  6. Step 6: Final answer
    x = 527,477.20

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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.