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Finding the Fourth Proportional to 329,680.60, 494,132.10 and 171,827.80

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Solution

The fourth proportional to 329,680.60, 494,132.10 and 171,827.80 is: 257,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,680.60 : 494,132.10 = 171,827.80 : x
  2. Step 2: Convert to fraction form
    329,680.60/494,132.10 = 171,827.80/x
  3. Step 3: Cross multiply
    329,680.60x = 494,132.10 × 171,827.80
  4. Step 4: Simplify right side
    329,680.60x = 84,905,631,652.38
  5. Step 5: Solve for x
    x = 84,905,631,652.38/329,680.60
  6. Step 6: Final answer
    x = 257,539.06

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Why These Related Problems?

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