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Finding the Fourth Proportional to 278,609, 384,480.42 and 159,377

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Solution

The fourth proportional to 278,609, 384,480.42 and 159,377 is: 219,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,609 : 384,480.42 = 159,377 : x
  2. Step 2: Convert to fraction form
    278,609/384,480.42 = 159,377/x
  3. Step 3: Cross multiply
    278,609x = 384,480.42 × 159,377
  4. Step 4: Simplify right side
    278,609x = 61,277,335,898.34
  5. Step 5: Solve for x
    x = 61,277,335,898.34/278,609
  6. Step 6: Final answer
    x = 219,940.26

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