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Finding the Fourth Proportional to 329,084.80, 493,627.20 and 162,851.20

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Solution

The fourth proportional to 329,084.80, 493,627.20 and 162,851.20 is: 244,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,084.80 : 493,627.20 = 162,851.20 : x
  2. Step 2: Convert to fraction form
    329,084.80/493,627.20 = 162,851.20/x
  3. Step 3: Cross multiply
    329,084.80x = 493,627.20 × 162,851.20
  4. Step 4: Simplify right side
    329,084.80x = 80,387,781,872.64
  5. Step 5: Solve for x
    x = 80,387,781,872.64/329,084.80
  6. Step 6: Final answer
    x = 244,276.80

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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.