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Finding the Fourth Proportional to 321,395, 443,478.54 and 178,155

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Solution

The fourth proportional to 321,395, 443,478.54 and 178,155 is: 245,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,395 : 443,478.54 = 178,155 : x
  2. Step 2: Convert to fraction form
    321,395/443,478.54 = 178,155/x
  3. Step 3: Cross multiply
    321,395x = 443,478.54 × 178,155
  4. Step 4: Simplify right side
    321,395x = 79,007,919,293.70
  5. Step 5: Solve for x
    x = 79,007,919,293.70/321,395
  6. Step 6: Final answer
    x = 245,828.09

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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.