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Finding the Fourth Proportional to 300,729.66, 450,953.22 and 174,405.80

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Solution

The fourth proportional to 300,729.66, 450,953.22 and 174,405.80 is: 261,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,729.66 : 450,953.22 = 174,405.80 : x
  2. Step 2: Convert to fraction form
    300,729.66/450,953.22 = 174,405.80/x
  3. Step 3: Cross multiply
    300,729.66x = 450,953.22 × 174,405.80
  4. Step 4: Simplify right side
    300,729.66x = 78,648,857,096.68
  5. Step 5: Solve for x
    x = 78,648,857,096.68/300,729.66
  6. Step 6: Final answer
    x = 261,526.77

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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.