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Finding the Fourth Proportional to 330,716.22, 456,375.16 and 194,755.90

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Solution

The fourth proportional to 330,716.22, 456,375.16 and 194,755.90 is: 268,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,716.22 : 456,375.16 = 194,755.90 : x
  2. Step 2: Convert to fraction form
    330,716.22/456,375.16 = 194,755.90/x
  3. Step 3: Cross multiply
    330,716.22x = 456,375.16 × 194,755.90
  4. Step 4: Simplify right side
    330,716.22x = 88,881,755,023.44
  5. Step 5: Solve for x
    x = 88,881,755,023.44/330,716.22
  6. Step 6: Final answer
    x = 268,755.35

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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.