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Finding the Fourth Proportional to 361,433.68, 498,781.42 and 200,291.40

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Solution

The fourth proportional to 361,433.68, 498,781.42 and 200,291.40 is: 276,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,433.68 : 498,781.42 = 200,291.40 : x
  2. Step 2: Convert to fraction form
    361,433.68/498,781.42 = 200,291.40/x
  3. Step 3: Cross multiply
    361,433.68x = 498,781.42 × 200,291.40
  4. Step 4: Simplify right side
    361,433.68x = 99,901,628,405.06
  5. Step 5: Solve for x
    x = 99,901,628,405.06/361,433.68
  6. Step 6: Final answer
    x = 276,403.76

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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.