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Finding the Fourth Proportional to 408,256.63, 563,362.23 and 226,957.53

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Solution

The fourth proportional to 408,256.63, 563,362.23 and 226,957.53 is: 313,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,256.63 : 563,362.23 = 226,957.53 : x
  2. Step 2: Convert to fraction form
    408,256.63/563,362.23 = 226,957.53/x
  3. Step 3: Cross multiply
    408,256.63x = 563,362.23 × 226,957.53
  4. Step 4: Simplify right side
    408,256.63x = 127,859,297,399.28
  5. Step 5: Solve for x
    x = 127,859,297,399.28/408,256.63
  6. Step 6: Final answer
    x = 313,183.64

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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.