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Finding the Fourth Proportional to 321,280.40, 443,369.52 and 178,042.82

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Solution

The fourth proportional to 321,280.40, 443,369.52 and 178,042.82 is: 245,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,280.40 : 443,369.52 = 178,042.82 : x
  2. Step 2: Convert to fraction form
    321,280.40/443,369.52 = 178,042.82/x
  3. Step 3: Cross multiply
    321,280.40x = 443,369.52 × 178,042.82
  4. Step 4: Simplify right side
    321,280.40x = 78,938,759,642.85
  5. Step 5: Solve for x
    x = 78,938,759,642.85/321,280.40
  6. Step 6: Final answer
    x = 245,700.51

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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.