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Finding the Fourth Proportional to 296,378.96, 409,012.88 and 181,635.43

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Solution

The fourth proportional to 296,378.96, 409,012.88 and 181,635.43 is: 250,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,378.96 : 409,012.88 = 181,635.43 : x
  2. Step 2: Convert to fraction form
    296,378.96/409,012.88 = 181,635.43/x
  3. Step 3: Cross multiply
    296,378.96x = 409,012.88 × 181,635.43
  4. Step 4: Simplify right side
    296,378.96x = 74,291,228,403.63
  5. Step 5: Solve for x
    x = 74,291,228,403.63/296,378.96
  6. Step 6: Final answer
    x = 250,662.97

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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.