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Finding the Fourth Proportional to 408,354.41, 563,527.13 and 227,055.56

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Solution

The fourth proportional to 408,354.41, 563,527.13 and 227,055.56 is: 313,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,354.41 : 563,527.13 = 227,055.56 : x
  2. Step 2: Convert to fraction form
    408,354.41/563,527.13 = 227,055.56/x
  3. Step 3: Cross multiply
    408,354.41x = 563,527.13 × 227,055.56
  4. Step 4: Simplify right side
    408,354.41x = 127,951,964,124.43
  5. Step 5: Solve for x
    x = 127,951,964,124.43/408,354.41
  6. Step 6: Final answer
    x = 313,335.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.