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Finding the Fourth Proportional to 320,392.82, 442,124.25 and 177,144.26

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Solution

The fourth proportional to 320,392.82, 442,124.25 and 177,144.26 is: 244,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,392.82 : 442,124.25 = 177,144.26 : x
  2. Step 2: Convert to fraction form
    320,392.82/442,124.25 = 177,144.26/x
  3. Step 3: Cross multiply
    320,392.82x = 442,124.25 × 177,144.26
  4. Step 4: Simplify right side
    320,392.82x = 78,319,773,094.31
  5. Step 5: Solve for x
    x = 78,319,773,094.31/320,392.82
  6. Step 6: Final answer
    x = 244,449.21

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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.