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Finding the Fourth Proportional to 321,418.09, 443,527.08 and 178,165.93

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Solution

The fourth proportional to 321,418.09, 443,527.08 and 178,165.93 is: 245,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,418.09 : 443,527.08 = 178,165.93 : x
  2. Step 2: Convert to fraction form
    321,418.09/443,527.08 = 178,165.93/x
  3. Step 3: Cross multiply
    321,418.09x = 443,527.08 × 178,165.93
  4. Step 4: Simplify right side
    321,418.09x = 79,021,414,688.38
  5. Step 5: Solve for x
    x = 79,021,414,688.38/321,418.09
  6. Step 6: Final answer
    x = 245,852.42

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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.