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Finding the Fourth Proportional to 446,558.76, 669,859.92 and 180,286.02

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Solution

The fourth proportional to 446,558.76, 669,859.92 and 180,286.02 is: 270,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,558.76 : 669,859.92 = 180,286.02 : x
  2. Step 2: Convert to fraction form
    446,558.76/669,859.92 = 180,286.02/x
  3. Step 3: Cross multiply
    446,558.76x = 669,859.92 × 180,286.02
  4. Step 4: Simplify right side
    446,558.76x = 120,766,378,934.32
  5. Step 5: Solve for x
    x = 120,766,378,934.32/446,558.76
  6. Step 6: Final answer
    x = 270,437.82

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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.