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Finding the Fourth Proportional to 408,256.99, 563,362.74 and 226,957.90

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Solution

The fourth proportional to 408,256.99, 563,362.74 and 226,957.90 is: 313,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,256.99 : 563,362.74 = 226,957.90 : x
  2. Step 2: Convert to fraction form
    408,256.99/563,362.74 = 226,957.90/x
  3. Step 3: Cross multiply
    408,256.99x = 563,362.74 × 226,957.90
  4. Step 4: Simplify right side
    408,256.99x = 127,859,624,408.65
  5. Step 5: Solve for x
    x = 127,859,624,408.65/408,256.99
  6. Step 6: Final answer
    x = 313,184.16

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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.