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Finding the Fourth Proportional to 433,711.26, 650,173.23 and 321,255.72

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Solution

The fourth proportional to 433,711.26, 650,173.23 and 321,255.72 is: 481,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,711.26 : 650,173.23 = 321,255.72 : x
  2. Step 2: Convert to fraction form
    433,711.26/650,173.23 = 321,255.72/x
  3. Step 3: Cross multiply
    433,711.26x = 650,173.23 × 321,255.72
  4. Step 4: Simplify right side
    433,711.26x = 208,871,869,128.38
  5. Step 5: Solve for x
    x = 208,871,869,128.38/433,711.26
  6. Step 6: Final answer
    x = 481,591.99

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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.