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Finding the Fourth Proportional to 408,157.65, 563,292.63 and 226,904.49

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Solution

The fourth proportional to 408,157.65, 563,292.63 and 226,904.49 is: 313,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,157.65 : 563,292.63 = 226,904.49 : x
  2. Step 2: Convert to fraction form
    408,157.65/563,292.63 = 226,904.49/x
  3. Step 3: Cross multiply
    408,157.65x = 563,292.63 × 226,904.49
  4. Step 4: Simplify right side
    408,157.65x = 127,813,626,930.91
  5. Step 5: Solve for x
    x = 127,813,626,930.91/408,157.65
  6. Step 6: Final answer
    x = 313,147.69

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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.