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Finding the Fourth Proportional to 321,451.56, 443,607.21 and 185,513.76

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Solution

The fourth proportional to 321,451.56, 443,607.21 and 185,513.76 is: 256,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,451.56 : 443,607.21 = 185,513.76 : x
  2. Step 2: Convert to fraction form
    321,451.56/443,607.21 = 185,513.76/x
  3. Step 3: Cross multiply
    321,451.56x = 443,607.21 × 185,513.76
  4. Step 4: Simplify right side
    321,451.56x = 82,295,241,490.21
  5. Step 5: Solve for x
    x = 82,295,241,490.21/321,451.56
  6. Step 6: Final answer
    x = 256,011.33

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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.