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Finding the Fourth Proportional to 408,043.64, 563,103.34 and 226,772.58

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Solution

The fourth proportional to 408,043.64, 563,103.34 and 226,772.58 is: 312,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,043.64 : 563,103.34 = 226,772.58 : x
  2. Step 2: Convert to fraction form
    408,043.64/563,103.34 = 226,772.58/x
  3. Step 3: Cross multiply
    408,043.64x = 563,103.34 × 226,772.58
  4. Step 4: Simplify right side
    408,043.64x = 127,696,397,218.42
  5. Step 5: Solve for x
    x = 127,696,397,218.42/408,043.64
  6. Step 6: Final answer
    x = 312,947.89

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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.