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Finding the Fourth Proportional to 408,847.54, 564,203.86 and 227,559.52

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Solution

The fourth proportional to 408,847.54, 564,203.86 and 227,559.52 is: 314,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,847.54 : 564,203.86 = 227,559.52 : x
  2. Step 2: Convert to fraction form
    408,847.54/564,203.86 = 227,559.52/x
  3. Step 3: Cross multiply
    408,847.54x = 564,203.86 × 227,559.52
  4. Step 4: Simplify right side
    408,847.54x = 128,389,959,563.75
  5. Step 5: Solve for x
    x = 128,389,959,563.75/408,847.54
  6. Step 6: Final answer
    x = 314,028.94

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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.