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Finding the Fourth Proportional to 321,269.84, 443,355 and 178,032.27

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Solution

The fourth proportional to 321,269.84, 443,355 and 178,032.27 is: 245,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,269.84 : 443,355 = 178,032.27 : x
  2. Step 2: Convert to fraction form
    321,269.84/443,355 = 178,032.27/x
  3. Step 3: Cross multiply
    321,269.84x = 443,355 × 178,032.27
  4. Step 4: Simplify right side
    321,269.84x = 78,931,497,065.85
  5. Step 5: Solve for x
    x = 78,931,497,065.85/321,269.84
  6. Step 6: Final answer
    x = 245,685.98

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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.