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Finding the Fourth Proportional to 321,270.34, 443,355.69 and 178,032.78

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Solution

The fourth proportional to 321,270.34, 443,355.69 and 178,032.78 is: 245,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,270.34 : 443,355.69 = 178,032.78 : x
  2. Step 2: Convert to fraction form
    321,270.34/443,355.69 = 178,032.78/x
  3. Step 3: Cross multiply
    321,270.34x = 443,355.69 × 178,032.78
  4. Step 4: Simplify right side
    321,270.34x = 78,931,846,019.52
  5. Step 5: Solve for x
    x = 78,931,846,019.52/321,270.34
  6. Step 6: Final answer
    x = 245,686.69

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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.