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Finding the Fourth Proportional to 475,231.84, 655,736.58 and 271,189.60

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Solution

The fourth proportional to 475,231.84, 655,736.58 and 271,189.60 is: 374,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,231.84 : 655,736.58 = 271,189.60 : x
  2. Step 2: Convert to fraction form
    475,231.84/655,736.58 = 271,189.60/x
  3. Step 3: Cross multiply
    475,231.84x = 655,736.58 × 271,189.60
  4. Step 4: Simplify right side
    475,231.84x = 177,828,940,835.57
  5. Step 5: Solve for x
    x = 177,828,940,835.57/475,231.84
  6. Step 6: Final answer
    x = 374,194.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.