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Finding the Fourth Proportional to 548,022.72, 822,500.64 and 215,832

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Solution

The fourth proportional to 548,022.72, 822,500.64 and 215,832 is: 323,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,022.72 : 822,500.64 = 215,832 : x
  2. Step 2: Convert to fraction form
    548,022.72/822,500.64 = 215,832/x
  3. Step 3: Cross multiply
    548,022.72x = 822,500.64 × 215,832
  4. Step 4: Simplify right side
    548,022.72x = 177,521,958,132.48
  5. Step 5: Solve for x
    x = 177,521,958,132.48/548,022.72
  6. Step 6: Final answer
    x = 323,931.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.