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Finding the Fourth Proportional to 351,702.44, 485,384.10 and 200,822.12

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Solution

The fourth proportional to 351,702.44, 485,384.10 and 200,822.12 is: 277,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,702.44 : 485,384.10 = 200,822.12 : x
  2. Step 2: Convert to fraction form
    351,702.44/485,384.10 = 200,822.12/x
  3. Step 3: Cross multiply
    351,702.44x = 485,384.10 × 200,822.12
  4. Step 4: Simplify right side
    351,702.44x = 97,475,863,976.29
  5. Step 5: Solve for x
    x = 97,475,863,976.29/351,702.44
  6. Step 6: Final answer
    x = 277,154.36

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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.