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Finding the Fourth Proportional to 321,002.50, 481,323.66 and 219,914.74

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Solution

The fourth proportional to 321,002.50, 481,323.66 and 219,914.74 is: 329,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,002.50 : 481,323.66 = 219,914.74 : x
  2. Step 2: Convert to fraction form
    321,002.50/481,323.66 = 219,914.74/x
  3. Step 3: Cross multiply
    321,002.50x = 481,323.66 × 219,914.74
  4. Step 4: Simplify right side
    321,002.50x = 105,850,167,544.75
  5. Step 5: Solve for x
    x = 105,850,167,544.75/321,002.50
  6. Step 6: Final answer
    x = 329,748.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.