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Finding the Fourth Proportional to 408,296.21, 563,462.96 and 227,015.78

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Solution

The fourth proportional to 408,296.21, 563,462.96 and 227,015.78 is: 313,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,296.21 : 563,462.96 = 227,015.78 : x
  2. Step 2: Convert to fraction form
    408,296.21/563,462.96 = 227,015.78/x
  3. Step 3: Cross multiply
    408,296.21x = 563,462.96 × 227,015.78
  4. Step 4: Simplify right side
    408,296.21x = 127,914,983,365.51
  5. Step 5: Solve for x
    x = 127,914,983,365.51/408,296.21
  6. Step 6: Final answer
    x = 313,289.67

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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.