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Finding the Fourth Proportional to 408,299.74, 563,466.66 and 227,019.31

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Solution

The fourth proportional to 408,299.74, 563,466.66 and 227,019.31 is: 313,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,299.74 : 563,466.66 = 227,019.31 : x
  2. Step 2: Convert to fraction form
    408,299.74/563,466.66 = 227,019.31/x
  3. Step 3: Cross multiply
    408,299.74x = 563,466.66 × 227,019.31
  4. Step 4: Simplify right side
    408,299.74x = 127,917,812,361.21
  5. Step 5: Solve for x
    x = 127,917,812,361.21/408,299.74
  6. Step 6: Final answer
    x = 313,293.89

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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.