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Finding the Fourth Proportional to 400,214.82, 552,309.63 and 218,922.60

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Solution

The fourth proportional to 400,214.82, 552,309.63 and 218,922.60 is: 302,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,214.82 : 552,309.63 = 218,922.60 : x
  2. Step 2: Convert to fraction form
    400,214.82/552,309.63 = 218,922.60/x
  3. Step 3: Cross multiply
    400,214.82x = 552,309.63 × 218,922.60
  4. Step 4: Simplify right side
    400,214.82x = 120,913,062,070.56
  5. Step 5: Solve for x
    x = 120,913,062,070.56/400,214.82
  6. Step 6: Final answer
    x = 302,120.40

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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.