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Finding the Fourth Proportional to 328,644.40, 492,772.20 and 171,180.40

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Solution

The fourth proportional to 328,644.40, 492,772.20 and 171,180.40 is: 256,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,644.40 : 492,772.20 = 171,180.40 : x
  2. Step 2: Convert to fraction form
    328,644.40/492,772.20 = 171,180.40/x
  3. Step 3: Cross multiply
    328,644.40x = 492,772.20 × 171,180.40
  4. Step 4: Simplify right side
    328,644.40x = 84,352,942,304.88
  5. Step 5: Solve for x
    x = 84,352,942,304.88/328,644.40
  6. Step 6: Final answer
    x = 256,669.34

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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.