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Finding the Fourth Proportional to 278,997.42, 384,485.52 and 202,384.38

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Solution

The fourth proportional to 278,997.42, 384,485.52 and 202,384.38 is: 278,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,997.42 : 384,485.52 = 202,384.38 : x
  2. Step 2: Convert to fraction form
    278,997.42/384,485.52 = 202,384.38/x
  3. Step 3: Cross multiply
    278,997.42x = 384,485.52 × 202,384.38
  4. Step 4: Simplify right side
    278,997.42x = 77,813,863,584.18
  5. Step 5: Solve for x
    x = 77,813,863,584.18/278,997.42
  6. Step 6: Final answer
    x = 278,905.32

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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.