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Finding the Fourth Proportional to 494,447.58, 741,671.34 and 178,830.66

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Solution

The fourth proportional to 494,447.58, 741,671.34 and 178,830.66 is: 268,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,447.58 : 741,671.34 = 178,830.66 : x
  2. Step 2: Convert to fraction form
    494,447.58/741,671.34 = 178,830.66/x
  3. Step 3: Cross multiply
    494,447.58x = 741,671.34 × 178,830.66
  4. Step 4: Simplify right side
    494,447.58x = 132,633,575,235.28
  5. Step 5: Solve for x
    x = 132,633,575,235.28/494,447.58
  6. Step 6: Final answer
    x = 268,245.98

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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.