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Finding the Fourth Proportional to 420,915.29, 580,841.33 and 229,891.77

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Solution

The fourth proportional to 420,915.29, 580,841.33 and 229,891.77 is: 317,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,915.29 : 580,841.33 = 229,891.77 : x
  2. Step 2: Convert to fraction form
    420,915.29/580,841.33 = 229,891.77/x
  3. Step 3: Cross multiply
    420,915.29x = 580,841.33 × 229,891.77
  4. Step 4: Simplify right side
    420,915.29x = 133,530,640,293.40
  5. Step 5: Solve for x
    x = 133,530,640,293.40/420,915.29
  6. Step 6: Final answer
    x = 317,238.75

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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.