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Finding the Fourth Proportional to 231,333.60, 347,000.40 and 195,904.20

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Solution

The fourth proportional to 231,333.60, 347,000.40 and 195,904.20 is: 293,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,333.60 : 347,000.40 = 195,904.20 : x
  2. Step 2: Convert to fraction form
    231,333.60/347,000.40 = 195,904.20/x
  3. Step 3: Cross multiply
    231,333.60x = 347,000.40 × 195,904.20
  4. Step 4: Simplify right side
    231,333.60x = 67,978,835,761.68
  5. Step 5: Solve for x
    x = 67,978,835,761.68/231,333.60
  6. Step 6: Final answer
    x = 293,856.30

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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.