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Finding the Fourth Proportional to 252,024.80, 377,162.40 and 231,029.60

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Solution

The fourth proportional to 252,024.80, 377,162.40 and 231,029.60 is: 345,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,024.80 : 377,162.40 = 231,029.60 : x
  2. Step 2: Convert to fraction form
    252,024.80/377,162.40 = 231,029.60/x
  3. Step 3: Cross multiply
    252,024.80x = 377,162.40 × 231,029.60
  4. Step 4: Simplify right side
    252,024.80x = 87,135,678,407.04
  5. Step 5: Solve for x
    x = 87,135,678,407.04/252,024.80
  6. Step 6: Final answer
    x = 345,742.48

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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.