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Finding the Fourth Proportional to 361,264.60, 541,313.70 and 227,906.20

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Solution

The fourth proportional to 361,264.60, 541,313.70 and 227,906.20 is: 341,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,264.60 : 541,313.70 = 227,906.20 : x
  2. Step 2: Convert to fraction form
    361,264.60/541,313.70 = 227,906.20/x
  3. Step 3: Cross multiply
    361,264.60x = 541,313.70 × 227,906.20
  4. Step 4: Simplify right side
    361,264.60x = 123,368,748,374.94
  5. Step 5: Solve for x
    x = 123,368,748,374.94/361,264.60
  6. Step 6: Final answer
    x = 341,491.38

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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.