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Finding the Fourth Proportional to 294,956.38, 406,884.63 and 199,495.18

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Solution

The fourth proportional to 294,956.38, 406,884.63 and 199,495.18 is: 275,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,956.38 : 406,884.63 = 199,495.18 : x
  2. Step 2: Convert to fraction form
    294,956.38/406,884.63 = 199,495.18/x
  3. Step 3: Cross multiply
    294,956.38x = 406,884.63 × 199,495.18
  4. Step 4: Simplify right side
    294,956.38x = 81,171,522,501.08
  5. Step 5: Solve for x
    x = 81,171,522,501.08/294,956.38
  6. Step 6: Final answer
    x = 275,198.40

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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.