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Finding the Fourth Proportional to 407,793.88, 562,755.36 and 226,522.63

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Solution

The fourth proportional to 407,793.88, 562,755.36 and 226,522.63 is: 312,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,793.88 : 562,755.36 = 226,522.63 : x
  2. Step 2: Convert to fraction form
    407,793.88/562,755.36 = 226,522.63/x
  3. Step 3: Cross multiply
    407,793.88x = 562,755.36 × 226,522.63
  4. Step 4: Simplify right side
    407,793.88x = 127,476,824,193.80
  5. Step 5: Solve for x
    x = 127,476,824,193.80/407,793.88
  6. Step 6: Final answer
    x = 312,601.12

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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.