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Finding the Fourth Proportional to 408,277.41, 563,441.58 and 227,007.96

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Solution

The fourth proportional to 408,277.41, 563,441.58 and 227,007.96 is: 313,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,277.41 : 563,441.58 = 227,007.96 : x
  2. Step 2: Convert to fraction form
    408,277.41/563,441.58 = 227,007.96/x
  3. Step 3: Cross multiply
    408,277.41x = 563,441.58 × 227,007.96
  4. Step 4: Simplify right side
    408,277.41x = 127,905,723,654.98
  5. Step 5: Solve for x
    x = 127,905,723,654.98/408,277.41
  6. Step 6: Final answer
    x = 313,281.41

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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.