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Finding the Fourth Proportional to 548,818.36, 823,375.32 and 282,433.72

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Solution

The fourth proportional to 548,818.36, 823,375.32 and 282,433.72 is: 423,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,818.36 : 823,375.32 = 282,433.72 : x
  2. Step 2: Convert to fraction form
    548,818.36/823,375.32 = 282,433.72/x
  3. Step 3: Cross multiply
    548,818.36x = 823,375.32 × 282,433.72
  4. Step 4: Simplify right side
    548,818.36x = 232,548,954,583.79
  5. Step 5: Solve for x
    x = 232,548,954,583.79/548,818.36
  6. Step 6: Final answer
    x = 423,726.63

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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.