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Finding the Fourth Proportional to 443,391.40, 664,892.70 and 177,063.40

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Solution

The fourth proportional to 443,391.40, 664,892.70 and 177,063.40 is: 265,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,391.40 : 664,892.70 = 177,063.40 : x
  2. Step 2: Convert to fraction form
    443,391.40/664,892.70 = 177,063.40/x
  3. Step 3: Cross multiply
    443,391.40x = 664,892.70 × 177,063.40
  4. Step 4: Simplify right side
    443,391.40x = 117,728,162,097.18
  5. Step 5: Solve for x
    x = 117,728,162,097.18/443,391.40
  6. Step 6: Final answer
    x = 265,517.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.