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Finding the Fourth Proportional to 481,778.25, 722,716.58 and 166,234.25

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Solution

The fourth proportional to 481,778.25, 722,716.58 and 166,234.25 is: 249,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,778.25 : 722,716.58 = 166,234.25 : x
  2. Step 2: Convert to fraction form
    481,778.25/722,716.58 = 166,234.25/x
  3. Step 3: Cross multiply
    481,778.25x = 722,716.58 × 166,234.25
  4. Step 4: Simplify right side
    481,778.25x = 120,140,245,440.87
  5. Step 5: Solve for x
    x = 120,140,245,440.87/481,778.25
  6. Step 6: Final answer
    x = 249,368.35

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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.