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Finding the Fourth Proportional to 442,198.09, 610,258.41 and 334,581.29

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Solution

The fourth proportional to 442,198.09, 610,258.41 and 334,581.29 is: 461,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,198.09 : 610,258.41 = 334,581.29 : x
  2. Step 2: Convert to fraction form
    442,198.09/610,258.41 = 334,581.29/x
  3. Step 3: Cross multiply
    442,198.09x = 610,258.41 × 334,581.29
  4. Step 4: Simplify right side
    442,198.09x = 204,181,042,999.86
  5. Step 5: Solve for x
    x = 204,181,042,999.86/442,198.09
  6. Step 6: Final answer
    x = 461,741.13

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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.