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Finding the Fourth Proportional to 494,468.88, 741,203.10 and 194,832.96

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Solution

The fourth proportional to 494,468.88, 741,203.10 and 194,832.96 is: 292,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,468.88 : 741,203.10 = 194,832.96 : x
  2. Step 2: Convert to fraction form
    494,468.88/741,203.10 = 194,832.96/x
  3. Step 3: Cross multiply
    494,468.88x = 741,203.10 × 194,832.96
  4. Step 4: Simplify right side
    494,468.88x = 144,410,793,934.18
  5. Step 5: Solve for x
    x = 144,410,793,934.18/494,468.88
  6. Step 6: Final answer
    x = 292,052.34

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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.