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Finding the Fourth Proportional to 362,022.26, 499,594.16 and 200,892.29

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Solution

The fourth proportional to 362,022.26, 499,594.16 and 200,892.29 is: 277,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,022.26 : 499,594.16 = 200,892.29 : x
  2. Step 2: Convert to fraction form
    362,022.26/499,594.16 = 200,892.29/x
  3. Step 3: Cross multiply
    362,022.26x = 499,594.16 × 200,892.29
  4. Step 4: Simplify right side
    362,022.26x = 100,364,615,117.55
  5. Step 5: Solve for x
    x = 100,364,615,117.55/362,022.26
  6. Step 6: Final answer
    x = 277,233.27

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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.