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Finding the Fourth Proportional to 321,532.90, 443,693.78 and 178,287.64

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Solution

The fourth proportional to 321,532.90, 443,693.78 and 178,287.64 is: 246,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,532.90 : 443,693.78 = 178,287.64 : x
  2. Step 2: Convert to fraction form
    321,532.90/443,693.78 = 178,287.64/x
  3. Step 3: Cross multiply
    321,532.90x = 443,693.78 × 178,287.64
  4. Step 4: Simplify right side
    321,532.90x = 79,105,116,918.88
  5. Step 5: Solve for x
    x = 79,105,116,918.88/321,532.90
  6. Step 6: Final answer
    x = 246,024.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.