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Finding the Fourth Proportional to 258,198.29, 384,702.28 and 243,694.95

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Solution

The fourth proportional to 258,198.29, 384,702.28 and 243,694.95 is: 363,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,198.29 : 384,702.28 = 243,694.95 : x
  2. Step 2: Convert to fraction form
    258,198.29/384,702.28 = 243,694.95/x
  3. Step 3: Cross multiply
    258,198.29x = 384,702.28 × 243,694.95
  4. Step 4: Simplify right side
    258,198.29x = 93,750,002,889.49
  5. Step 5: Solve for x
    x = 93,750,002,889.49/258,198.29
  6. Step 6: Final answer
    x = 363,093.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.