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Finding the Fourth Proportional to 264,842.40, 396,928.80 and 106,982.40

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Solution

The fourth proportional to 264,842.40, 396,928.80 and 106,982.40 is: 160,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,842.40 : 396,928.80 = 106,982.40 : x
  2. Step 2: Convert to fraction form
    264,842.40/396,928.80 = 106,982.40/x
  3. Step 3: Cross multiply
    264,842.40x = 396,928.80 × 106,982.40
  4. Step 4: Simplify right side
    264,842.40x = 42,464,395,653.12
  5. Step 5: Solve for x
    x = 42,464,395,653.12/264,842.40
  6. Step 6: Final answer
    x = 160,338.36

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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.