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Finding the Fourth Proportional to 321,280.64, 443,369.76 and 178,043

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Solution

The fourth proportional to 321,280.64, 443,369.76 and 178,043 is: 245,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,280.64 : 443,369.76 = 178,043 : x
  2. Step 2: Convert to fraction form
    321,280.64/443,369.76 = 178,043/x
  3. Step 3: Cross multiply
    321,280.64x = 443,369.76 × 178,043
  4. Step 4: Simplify right side
    321,280.64x = 78,938,882,179.68
  5. Step 5: Solve for x
    x = 78,938,882,179.68/321,280.64
  6. Step 6: Final answer
    x = 245,700.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.