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Finding the Fourth Proportional to 329,392.22, 454,564.84 and 193,427.78

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Solution

The fourth proportional to 329,392.22, 454,564.84 and 193,427.78 is: 266,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,392.22 : 454,564.84 = 193,427.78 : x
  2. Step 2: Convert to fraction form
    329,392.22/454,564.84 = 193,427.78/x
  3. Step 3: Cross multiply
    329,392.22x = 454,564.84 × 193,427.78
  4. Step 4: Simplify right side
    329,392.22x = 87,925,467,867.26
  5. Step 5: Solve for x
    x = 87,925,467,867.26/329,392.22
  6. Step 6: Final answer
    x = 266,932.44

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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.