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Finding the Fourth Proportional to 320,857.94, 442,787.24 and 177,614.91

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Solution

The fourth proportional to 320,857.94, 442,787.24 and 177,614.91 is: 245,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,857.94 : 442,787.24 = 177,614.91 : x
  2. Step 2: Convert to fraction form
    320,857.94/442,787.24 = 177,614.91/x
  3. Step 3: Cross multiply
    320,857.94x = 442,787.24 × 177,614.91
  4. Step 4: Simplify right side
    320,857.94x = 78,645,614,893.67
  5. Step 5: Solve for x
    x = 78,645,614,893.67/320,857.94
  6. Step 6: Final answer
    x = 245,110.39

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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.