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Finding the Fourth Proportional to 295,898, 443,958.80 and 177,651.84

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Solution

The fourth proportional to 295,898, 443,958.80 and 177,651.84 is: 266,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,898 : 443,958.80 = 177,651.84 : x
  2. Step 2: Convert to fraction form
    295,898/443,958.80 = 177,651.84/x
  3. Step 3: Cross multiply
    295,898x = 443,958.80 × 177,651.84
  4. Step 4: Simplify right side
    295,898x = 78,870,097,704.19
  5. Step 5: Solve for x
    x = 78,870,097,704.19/295,898
  6. Step 6: Final answer
    x = 266,544.88

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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.