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Finding the Fourth Proportional to 264,405.61, 396,472.33 and 106,591.69

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Solution

The fourth proportional to 264,405.61, 396,472.33 and 106,591.69 is: 159,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,405.61 : 396,472.33 = 106,591.69 : x
  2. Step 2: Convert to fraction form
    264,405.61/396,472.33 = 106,591.69/x
  3. Step 3: Cross multiply
    264,405.61x = 396,472.33 × 106,591.69
  4. Step 4: Simplify right side
    264,405.61x = 42,260,655,692.94
  5. Step 5: Solve for x
    x = 42,260,655,692.94/264,405.61
  6. Step 6: Final answer
    x = 159,832.67

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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.