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Finding the Fourth Proportional to 548,888.16, 823,217.04 and 154,812

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Solution

The fourth proportional to 548,888.16, 823,217.04 and 154,812 is: 232,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,888.16 : 823,217.04 = 154,812 : x
  2. Step 2: Convert to fraction form
    548,888.16/823,217.04 = 154,812/x
  3. Step 3: Cross multiply
    548,888.16x = 823,217.04 × 154,812
  4. Step 4: Simplify right side
    548,888.16x = 127,443,876,396.48
  5. Step 5: Solve for x
    x = 127,443,876,396.48/548,888.16
  6. Step 6: Final answer
    x = 232,185.51

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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.