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Finding the Fourth Proportional to 322,942.60, 483,953.10 and 238,040.20

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Solution

The fourth proportional to 322,942.60, 483,953.10 and 238,040.20 is: 356,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,942.60 : 483,953.10 = 238,040.20 : x
  2. Step 2: Convert to fraction form
    322,942.60/483,953.10 = 238,040.20/x
  3. Step 3: Cross multiply
    322,942.60x = 483,953.10 × 238,040.20
  4. Step 4: Simplify right side
    322,942.60x = 115,200,292,714.62
  5. Step 5: Solve for x
    x = 115,200,292,714.62/322,942.60
  6. Step 6: Final answer
    x = 356,720.65

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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.