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Finding the Fourth Proportional to 420,829.22, 580,735.34 and 229,843.38

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Solution

The fourth proportional to 420,829.22, 580,735.34 and 229,843.38 is: 317,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,829.22 : 580,735.34 = 229,843.38 : x
  2. Step 2: Convert to fraction form
    420,829.22/580,735.34 = 229,843.38/x
  3. Step 3: Cross multiply
    420,829.22x = 580,735.34 × 229,843.38
  4. Step 4: Simplify right side
    420,829.22x = 133,478,173,431.05
  5. Step 5: Solve for x
    x = 133,478,173,431.05/420,829.22
  6. Step 6: Final answer
    x = 317,178.96

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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.