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Finding the Fourth Proportional to 323,546.91, 446,309.13 and 202,477.95

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Solution

The fourth proportional to 323,546.91, 446,309.13 and 202,477.95 is: 279,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,546.91 : 446,309.13 = 202,477.95 : x
  2. Step 2: Convert to fraction form
    323,546.91/446,309.13 = 202,477.95/x
  3. Step 3: Cross multiply
    323,546.91x = 446,309.13 × 202,477.95
  4. Step 4: Simplify right side
    323,546.91x = 90,367,757,708.68
  5. Step 5: Solve for x
    x = 90,367,757,708.68/323,546.91
  6. Step 6: Final answer
    x = 279,303.42

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Why These Related Problems?

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