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Finding the Fourth Proportional to 361,494.10, 498,849.06 and 200,364.13

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Solution

The fourth proportional to 361,494.10, 498,849.06 and 200,364.13 is: 276,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,494.10 : 498,849.06 = 200,364.13 : x
  2. Step 2: Convert to fraction form
    361,494.10/498,849.06 = 200,364.13/x
  3. Step 3: Cross multiply
    361,494.10x = 498,849.06 × 200,364.13
  4. Step 4: Simplify right side
    361,494.10x = 99,951,457,908.22
  5. Step 5: Solve for x
    x = 99,951,457,908.22/361,494.10
  6. Step 6: Final answer
    x = 276,495.41

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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.