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Finding the Fourth Proportional to 289,339.49, 434,676.27 and 277,382.27

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Solution

The fourth proportional to 289,339.49, 434,676.27 and 277,382.27 is: 416,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,339.49 : 434,676.27 = 277,382.27 : x
  2. Step 2: Convert to fraction form
    289,339.49/434,676.27 = 277,382.27/x
  3. Step 3: Cross multiply
    289,339.49x = 434,676.27 × 277,382.27
  4. Step 4: Simplify right side
    289,339.49x = 120,571,488,314.35
  5. Step 5: Solve for x
    x = 120,571,488,314.35/289,339.49
  6. Step 6: Final answer
    x = 416,712.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.