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Finding the Fourth Proportional to 685,651.50, 945,885.06 and 444,011.90

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Solution

The fourth proportional to 685,651.50, 945,885.06 and 444,011.90 is: 612,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,651.50 : 945,885.06 = 444,011.90 : x
  2. Step 2: Convert to fraction form
    685,651.50/945,885.06 = 444,011.90/x
  3. Step 3: Cross multiply
    685,651.50x = 945,885.06 × 444,011.90
  4. Step 4: Simplify right side
    685,651.50x = 419,984,217,942.79
  5. Step 5: Solve for x
    x = 419,984,217,942.79/685,651.50
  6. Step 6: Final answer
    x = 612,533.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.