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Finding the Fourth Proportional to 348,735.40, 523,103.10 and 327,740.20

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Solution

The fourth proportional to 348,735.40, 523,103.10 and 327,740.20 is: 491,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,735.40 : 523,103.10 = 327,740.20 : x
  2. Step 2: Convert to fraction form
    348,735.40/523,103.10 = 327,740.20/x
  3. Step 3: Cross multiply
    348,735.40x = 523,103.10 × 327,740.20
  4. Step 4: Simplify right side
    348,735.40x = 171,441,914,614.62
  5. Step 5: Solve for x
    x = 171,441,914,614.62/348,735.40
  6. Step 6: Final answer
    x = 491,610.30

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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.