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Finding the Fourth Proportional to 420,388.20, 580,130.94 and 229,404.84

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Solution

The fourth proportional to 420,388.20, 580,130.94 and 229,404.84 is: 316,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,388.20 : 580,130.94 = 229,404.84 : x
  2. Step 2: Convert to fraction form
    420,388.20/580,130.94 = 229,404.84/x
  3. Step 3: Cross multiply
    420,388.20x = 580,130.94 × 229,404.84
  4. Step 4: Simplify right side
    420,388.20x = 133,084,845,469.75
  5. Step 5: Solve for x
    x = 133,084,845,469.75/420,388.20
  6. Step 6: Final answer
    x = 316,576.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.