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Finding the Fourth Proportional to 565,097.67, 847,702.49 and 180,749.97

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Solution

The fourth proportional to 565,097.67, 847,702.49 and 180,749.97 is: 271,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,097.67 : 847,702.49 = 180,749.97 : x
  2. Step 2: Convert to fraction form
    565,097.67/847,702.49 = 180,749.97/x
  3. Step 3: Cross multiply
    565,097.67x = 847,702.49 × 180,749.97
  4. Step 4: Simplify right side
    565,097.67x = 153,222,198,732.68
  5. Step 5: Solve for x
    x = 153,222,198,732.68/565,097.67
  6. Step 6: Final answer
    x = 271,142.86

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Why These Related Problems?

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