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Finding the Fourth Proportional to 405,884.40, 608,826.60 and 106,364.40

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Solution

The fourth proportional to 405,884.40, 608,826.60 and 106,364.40 is: 159,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,884.40 : 608,826.60 = 106,364.40 : x
  2. Step 2: Convert to fraction form
    405,884.40/608,826.60 = 106,364.40/x
  3. Step 3: Cross multiply
    405,884.40x = 608,826.60 × 106,364.40
  4. Step 4: Simplify right side
    405,884.40x = 64,757,476,013.04
  5. Step 5: Solve for x
    x = 64,757,476,013.04/405,884.40
  6. Step 6: Final answer
    x = 159,546.60

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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.