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Finding the Fourth Proportional to 278,614.44, 384,485.40 and 151,282.44

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Solution

The fourth proportional to 278,614.44, 384,485.40 and 151,282.44 is: 208,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,614.44 : 384,485.40 = 151,282.44 : x
  2. Step 2: Convert to fraction form
    278,614.44/384,485.40 = 151,282.44/x
  3. Step 3: Cross multiply
    278,614.44x = 384,485.40 × 151,282.44
  4. Step 4: Simplify right side
    278,614.44x = 58,165,889,456.38
  5. Step 5: Solve for x
    x = 58,165,889,456.38/278,614.44
  6. Step 6: Final answer
    x = 208,768.39

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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.