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Finding the Fourth Proportional to 374,200.97, 516,396.20 and 204,436.31

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Solution

The fourth proportional to 374,200.97, 516,396.20 and 204,436.31 is: 282,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,200.97 : 516,396.20 = 204,436.31 : x
  2. Step 2: Convert to fraction form
    374,200.97/516,396.20 = 204,436.31/x
  3. Step 3: Cross multiply
    374,200.97x = 516,396.20 × 204,436.31
  4. Step 4: Simplify right side
    374,200.97x = 105,570,130,021.86
  5. Step 5: Solve for x
    x = 105,570,130,021.86/374,200.97
  6. Step 6: Final answer
    x = 282,121.48

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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.