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Finding the Fourth Proportional to 461,540.70, 692,141.94 and 195,321.96

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Solution

The fourth proportional to 461,540.70, 692,141.94 and 195,321.96 is: 292,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,540.70 : 692,141.94 = 195,321.96 : x
  2. Step 2: Convert to fraction form
    461,540.70/692,141.94 = 195,321.96/x
  3. Step 3: Cross multiply
    461,540.70x = 692,141.94 × 195,321.96
  4. Step 4: Simplify right side
    461,540.70x = 135,190,520,319.00
  5. Step 5: Solve for x
    x = 135,190,520,319.00/461,540.70
  6. Step 6: Final answer
    x = 292,911.37

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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.