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Finding the Fourth Proportional to 412,702.10, 569,286.96 and 259,497.44

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Solution

The fourth proportional to 412,702.10, 569,286.96 and 259,497.44 is: 357,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,702.10 : 569,286.96 = 259,497.44 : x
  2. Step 2: Convert to fraction form
    412,702.10/569,286.96 = 259,497.44/x
  3. Step 3: Cross multiply
    412,702.10x = 569,286.96 × 259,497.44
  4. Step 4: Simplify right side
    412,702.10x = 147,728,508,745.38
  5. Step 5: Solve for x
    x = 147,728,508,745.38/412,702.10
  6. Step 6: Final answer
    x = 357,954.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.