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Finding the Fourth Proportional to 494,759.75, 742,137.80 and 179,142.84

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Solution

The fourth proportional to 494,759.75, 742,137.80 and 179,142.84 is: 268,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,759.75 : 742,137.80 = 179,142.84 : x
  2. Step 2: Convert to fraction form
    494,759.75/742,137.80 = 179,142.84/x
  3. Step 3: Cross multiply
    494,759.75x = 742,137.80 × 179,142.84
  4. Step 4: Simplify right side
    494,759.75x = 132,948,672,267.64
  5. Step 5: Solve for x
    x = 132,948,672,267.64/494,759.75
  6. Step 6: Final answer
    x = 268,713.60

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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.