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Finding the Fourth Proportional to 420,616.62, 580,428.97 and 229,593.11

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Solution

The fourth proportional to 420,616.62, 580,428.97 and 229,593.11 is: 316,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,616.62 : 580,428.97 = 229,593.11 : x
  2. Step 2: Convert to fraction form
    420,616.62/580,428.97 = 229,593.11/x
  3. Step 3: Cross multiply
    420,616.62x = 580,428.97 × 229,593.11
  4. Step 4: Simplify right side
    420,616.62x = 133,262,488,880.27
  5. Step 5: Solve for x
    x = 133,262,488,880.27/420,616.62
  6. Step 6: Final answer
    x = 316,826.49

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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.