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Finding the Fourth Proportional to 496,772, 685,545.44 and 270,419.20

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Solution

The fourth proportional to 496,772, 685,545.44 and 270,419.20 is: 373,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,772 : 685,545.44 = 270,419.20 : x
  2. Step 2: Convert to fraction form
    496,772/685,545.44 = 270,419.20/x
  3. Step 3: Cross multiply
    496,772x = 685,545.44 × 270,419.20
  4. Step 4: Simplify right side
    496,772x = 185,384,649,448.45
  5. Step 5: Solve for x
    x = 185,384,649,448.45/496,772
  6. Step 6: Final answer
    x = 373,178.54

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