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Finding the Fourth Proportional to 519,396.02, 779,195.01 and 199,524.50

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Solution

The fourth proportional to 519,396.02, 779,195.01 and 199,524.50 is: 299,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,396.02 : 779,195.01 = 199,524.50 : x
  2. Step 2: Convert to fraction form
    519,396.02/779,195.01 = 199,524.50/x
  3. Step 3: Cross multiply
    519,396.02x = 779,195.01 × 199,524.50
  4. Step 4: Simplify right side
    519,396.02x = 155,468,494,772.75
  5. Step 5: Solve for x
    x = 155,468,494,772.75/519,396.02
  6. Step 6: Final answer
    x = 299,325.54

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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.