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Finding the Fourth Proportional to 420,830.22, 580,736.72 and 229,844.38

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Solution

The fourth proportional to 420,830.22, 580,736.72 and 229,844.38 is: 317,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,830.22 : 580,736.72 = 229,844.38 : x
  2. Step 2: Convert to fraction form
    420,830.22/580,736.72 = 229,844.38/x
  3. Step 3: Cross multiply
    420,830.22x = 580,736.72 × 229,844.38
  4. Step 4: Simplify right side
    420,830.22x = 133,479,071,351.63
  5. Step 5: Solve for x
    x = 133,479,071,351.63/420,830.22
  6. Step 6: Final answer
    x = 317,180.34

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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.