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Finding the Fourth Proportional to 533,638.28, 800,733.36 and 234,329

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Solution

The fourth proportional to 533,638.28, 800,733.36 and 234,329 is: 351,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,638.28 : 800,733.36 = 234,329 : x
  2. Step 2: Convert to fraction form
    533,638.28/800,733.36 = 234,329/x
  3. Step 3: Cross multiply
    533,638.28x = 800,733.36 × 234,329
  4. Step 4: Simplify right side
    533,638.28x = 187,635,047,515.44
  5. Step 5: Solve for x
    x = 187,635,047,515.44/533,638.28
  6. Step 6: Final answer
    x = 351,614.67

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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.