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Finding the Fourth Proportional to 446,469.60, 669,704.40 and 296,911.20

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Solution

The fourth proportional to 446,469.60, 669,704.40 and 296,911.20 is: 445,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,469.60 : 669,704.40 = 296,911.20 : x
  2. Step 2: Convert to fraction form
    446,469.60/669,704.40 = 296,911.20/x
  3. Step 3: Cross multiply
    446,469.60x = 669,704.40 × 296,911.20
  4. Step 4: Simplify right side
    446,469.60x = 198,842,737,049.28
  5. Step 5: Solve for x
    x = 198,842,737,049.28/446,469.60
  6. Step 6: Final answer
    x = 445,366.80

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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.