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Finding the Fourth Proportional to 465,676.92, 642,489.66 and 271,944.88

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Solution

The fourth proportional to 465,676.92, 642,489.66 and 271,944.88 is: 375,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,676.92 : 642,489.66 = 271,944.88 : x
  2. Step 2: Convert to fraction form
    465,676.92/642,489.66 = 271,944.88/x
  3. Step 3: Cross multiply
    465,676.92x = 642,489.66 × 271,944.88
  4. Step 4: Simplify right side
    465,676.92x = 174,721,773,088.39
  5. Step 5: Solve for x
    x = 174,721,773,088.39/465,676.92
  6. Step 6: Final answer
    x = 375,199.55

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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.