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Finding the Fourth Proportional to 408,288.16, 563,425.32 and 227,004.08

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Solution

The fourth proportional to 408,288.16, 563,425.32 and 227,004.08 is: 313,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,288.16 : 563,425.32 = 227,004.08 : x
  2. Step 2: Convert to fraction form
    408,288.16/563,425.32 = 227,004.08/x
  3. Step 3: Cross multiply
    408,288.16x = 563,425.32 × 227,004.08
  4. Step 4: Simplify right side
    408,288.16x = 127,899,846,415.31
  5. Step 5: Solve for x
    x = 127,899,846,415.31/408,288.16
  6. Step 6: Final answer
    x = 313,258.77

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