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Finding the Fourth Proportional to 361,204.76, 541,807.38 and 212,481.72

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Solution

The fourth proportional to 361,204.76, 541,807.38 and 212,481.72 is: 318,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,204.76 : 541,807.38 = 212,481.72 : x
  2. Step 2: Convert to fraction form
    361,204.76/541,807.38 = 212,481.72/x
  3. Step 3: Cross multiply
    361,204.76x = 541,807.38 × 212,481.72
  4. Step 4: Simplify right side
    361,204.76x = 115,124,164,011.09
  5. Step 5: Solve for x
    x = 115,124,164,011.09/361,204.76
  6. Step 6: Final answer
    x = 318,722.72

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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.