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Finding the Fourth Proportional to 420,638.84, 580,478.60 and 229,652.23

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Solution

The fourth proportional to 420,638.84, 580,478.60 and 229,652.23 is: 316,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,638.84 : 580,478.60 = 229,652.23 : x
  2. Step 2: Convert to fraction form
    420,638.84/580,478.60 = 229,652.23/x
  3. Step 3: Cross multiply
    420,638.84x = 580,478.60 × 229,652.23
  4. Step 4: Simplify right side
    420,638.84x = 133,308,200,906.62
  5. Step 5: Solve for x
    x = 133,308,200,906.62/420,638.84
  6. Step 6: Final answer
    x = 316,918.43

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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.