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Finding the Fourth Proportional to 291,204.80, 436,821.60 and 151,236.80

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Solution

The fourth proportional to 291,204.80, 436,821.60 and 151,236.80 is: 226,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,204.80 : 436,821.60 = 151,236.80 : x
  2. Step 2: Convert to fraction form
    291,204.80/436,821.60 = 151,236.80/x
  3. Step 3: Cross multiply
    291,204.80x = 436,821.60 × 151,236.80
  4. Step 4: Simplify right side
    291,204.80x = 66,063,500,954.88
  5. Step 5: Solve for x
    x = 66,063,500,954.88/291,204.80
  6. Step 6: Final answer
    x = 226,862.68

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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.