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Finding the Fourth Proportional to 320,393.32, 442,124.94 and 177,144.76

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Solution

The fourth proportional to 320,393.32, 442,124.94 and 177,144.76 is: 244,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,393.32 : 442,124.94 = 177,144.76 : x
  2. Step 2: Convert to fraction form
    320,393.32/442,124.94 = 177,144.76/x
  3. Step 3: Cross multiply
    320,393.32x = 442,124.94 × 177,144.76
  4. Step 4: Simplify right side
    320,393.32x = 78,320,116,386.31
  5. Step 5: Solve for x
    x = 78,320,116,386.31/320,393.32
  6. Step 6: Final answer
    x = 244,449.90

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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.