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Finding the Fourth Proportional to 321,333.40, 443,433.24 and 178,092.16

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Solution

The fourth proportional to 321,333.40, 443,433.24 and 178,092.16 is: 245,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,333.40 : 443,433.24 = 178,092.16 : x
  2. Step 2: Convert to fraction form
    321,333.40/443,433.24 = 178,092.16/x
  3. Step 3: Cross multiply
    321,333.40x = 443,433.24 × 178,092.16
  4. Step 4: Simplify right side
    321,333.40x = 78,971,983,527.40
  5. Step 5: Solve for x
    x = 78,971,983,527.40/321,333.40
  6. Step 6: Final answer
    x = 245,763.38

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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.