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Finding the Fourth Proportional to 320,444.28, 442,215.98 and 177,214

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Solution

The fourth proportional to 320,444.28, 442,215.98 and 177,214 is: 244,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,444.28 : 442,215.98 = 177,214 : x
  2. Step 2: Convert to fraction form
    320,444.28/442,215.98 = 177,214/x
  3. Step 3: Cross multiply
    320,444.28x = 442,215.98 × 177,214
  4. Step 4: Simplify right side
    320,444.28x = 78,366,862,679.72
  5. Step 5: Solve for x
    x = 78,366,862,679.72/320,444.28
  6. Step 6: Final answer
    x = 244,556.91

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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.