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Finding the Fourth Proportional to 232,461.60, 347,817.60 and 153,729.60

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Solution

The fourth proportional to 232,461.60, 347,817.60 and 153,729.60 is: 230,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,461.60 : 347,817.60 = 153,729.60 : x
  2. Step 2: Convert to fraction form
    232,461.60/347,817.60 = 153,729.60/x
  3. Step 3: Cross multiply
    232,461.60x = 347,817.60 × 153,729.60
  4. Step 4: Simplify right side
    232,461.60x = 53,469,860,520.96
  5. Step 5: Solve for x
    x = 53,469,860,520.96/232,461.60
  6. Step 6: Final answer
    x = 230,015.88

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1.5x scale

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.