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Finding the Fourth Proportional to 264,411.61, 396,481.32 and 106,597.69

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Solution

The fourth proportional to 264,411.61, 396,481.32 and 106,597.69 is: 159,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,411.61 : 396,481.32 = 106,597.69 : x
  2. Step 2: Convert to fraction form
    264,411.61/396,481.32 = 106,597.69/x
  3. Step 3: Cross multiply
    264,411.61x = 396,481.32 × 106,597.69
  4. Step 4: Simplify right side
    264,411.61x = 42,263,992,840.15
  5. Step 5: Solve for x
    x = 42,263,992,840.15/264,411.61
  6. Step 6: Final answer
    x = 159,841.67

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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.