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Finding the Fourth Proportional to 320,217.36, 480,335.76 and 109,852.24

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Solution

The fourth proportional to 320,217.36, 480,335.76 and 109,852.24 is: 164,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,217.36 : 480,335.76 = 109,852.24 : x
  2. Step 2: Convert to fraction form
    320,217.36/480,335.76 = 109,852.24/x
  3. Step 3: Cross multiply
    320,217.36x = 480,335.76 × 109,852.24
  4. Step 4: Simplify right side
    320,217.36x = 52,765,959,188.10
  5. Step 5: Solve for x
    x = 52,765,959,188.10/320,217.36
  6. Step 6: Final answer
    x = 164,781.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.