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Finding the Fourth Proportional to 654,185.21, 902,643.26 and 382,200.57

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Solution

The fourth proportional to 654,185.21, 902,643.26 and 382,200.57 is: 527,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,185.21 : 902,643.26 = 382,200.57 : x
  2. Step 2: Convert to fraction form
    654,185.21/902,643.26 = 382,200.57/x
  3. Step 3: Cross multiply
    654,185.21x = 902,643.26 × 382,200.57
  4. Step 4: Simplify right side
    654,185.21x = 344,990,766,567.66
  5. Step 5: Solve for x
    x = 344,990,766,567.66/654,185.21
  6. Step 6: Final answer
    x = 527,359.48

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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.