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Finding the Fourth Proportional to 446,700.56, 669,487.26 and 180,312.80

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Solution

The fourth proportional to 446,700.56, 669,487.26 and 180,312.80 is: 270,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,700.56 : 669,487.26 = 180,312.80 : x
  2. Step 2: Convert to fraction form
    446,700.56/669,487.26 = 180,312.80/x
  3. Step 3: Cross multiply
    446,700.56x = 669,487.26 × 180,312.80
  4. Step 4: Simplify right side
    446,700.56x = 120,717,122,414.93
  5. Step 5: Solve for x
    x = 120,717,122,414.93/446,700.56
  6. Step 6: Final answer
    x = 270,241.71

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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.