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Finding the Fourth Proportional to 446,592, 669,713.04 and 180,302.88

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Solution

The fourth proportional to 446,592, 669,713.04 and 180,302.88 is: 270,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,592 : 669,713.04 = 180,302.88 : x
  2. Step 2: Convert to fraction form
    446,592/669,713.04 = 180,302.88/x
  3. Step 3: Cross multiply
    446,592x = 669,713.04 × 180,302.88
  4. Step 4: Simplify right side
    446,592x = 120,751,189,885.56
  5. Step 5: Solve for x
    x = 120,751,189,885.56/446,592
  6. Step 6: Final answer
    x = 270,383.68

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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.