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Finding the Fourth Proportional to 409,912.68, 610,794.05 and 365,195.80

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Solution

The fourth proportional to 409,912.68, 610,794.05 and 365,195.80 is: 544,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,912.68 : 610,794.05 = 365,195.80 : x
  2. Step 2: Convert to fraction form
    409,912.68/610,794.05 = 365,195.80/x
  3. Step 3: Cross multiply
    409,912.68x = 610,794.05 × 365,195.80
  4. Step 4: Simplify right side
    409,912.68x = 223,059,421,724.99
  5. Step 5: Solve for x
    x = 223,059,421,724.99/409,912.68
  6. Step 6: Final answer
    x = 544,163.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.