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Finding the Fourth Proportional to 320,601.36, 442,437.66 and 177,364.20

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Solution

The fourth proportional to 320,601.36, 442,437.66 and 177,364.20 is: 244,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,601.36 : 442,437.66 = 177,364.20 : x
  2. Step 2: Convert to fraction form
    320,601.36/442,437.66 = 177,364.20/x
  3. Step 3: Cross multiply
    320,601.36x = 442,437.66 × 177,364.20
  4. Step 4: Simplify right side
    320,601.36x = 78,472,601,615.77
  5. Step 5: Solve for x
    x = 78,472,601,615.77/320,601.36
  6. Step 6: Final answer
    x = 244,766.90

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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.