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Finding the Fourth Proportional to 264,442.32, 396,601.92 and 106,628.40

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Solution

The fourth proportional to 264,442.32, 396,601.92 and 106,628.40 is: 159,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,442.32 : 396,601.92 = 106,628.40 : x
  2. Step 2: Convert to fraction form
    264,442.32/396,601.92 = 106,628.40/x
  3. Step 3: Cross multiply
    264,442.32x = 396,601.92 × 106,628.40
  4. Step 4: Simplify right side
    264,442.32x = 42,289,028,166.53
  5. Step 5: Solve for x
    x = 42,289,028,166.53/264,442.32
  6. Step 6: Final answer
    x = 159,917.78

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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.