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Finding the Fourth Proportional to 446,533.62, 669,797.10 and 180,290.04

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Solution

The fourth proportional to 446,533.62, 669,797.10 and 180,290.04 is: 270,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,533.62 : 669,797.10 = 180,290.04 : x
  2. Step 2: Convert to fraction form
    446,533.62/669,797.10 = 180,290.04/x
  3. Step 3: Cross multiply
    446,533.62x = 669,797.10 × 180,290.04
  4. Step 4: Simplify right side
    446,533.62x = 120,757,745,950.88
  5. Step 5: Solve for x
    x = 120,757,745,950.88/446,533.62
  6. Step 6: Final answer
    x = 270,433.72

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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.