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Finding the Fourth Proportional to 321,292.68, 443,432.74 and 205,056.29

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Solution

The fourth proportional to 321,292.68, 443,432.74 and 205,056.29 is: 283,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,292.68 : 443,432.74 = 205,056.29 : x
  2. Step 2: Convert to fraction form
    321,292.68/443,432.74 = 205,056.29/x
  3. Step 3: Cross multiply
    321,292.68x = 443,432.74 × 205,056.29
  4. Step 4: Simplify right side
    321,292.68x = 90,928,672,528.93
  5. Step 5: Solve for x
    x = 90,928,672,528.93/321,292.68
  6. Step 6: Final answer
    x = 283,008.85

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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.