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Finding the Fourth Proportional to 295,806.40, 443,450.40 and 177,524.80

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Solution

The fourth proportional to 295,806.40, 443,450.40 and 177,524.80 is: 266,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,806.40 : 443,450.40 = 177,524.80 : x
  2. Step 2: Convert to fraction form
    295,806.40/443,450.40 = 177,524.80/x
  3. Step 3: Cross multiply
    295,806.40x = 443,450.40 × 177,524.80
  4. Step 4: Simplify right side
    295,806.40x = 78,723,443,569.92
  5. Step 5: Solve for x
    x = 78,723,443,569.92/295,806.40
  6. Step 6: Final answer
    x = 266,131.64

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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.