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Finding the Fourth Proportional to 475,234, 655,661.46 and 271,138.30

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Solution

The fourth proportional to 475,234, 655,661.46 and 271,138.30 is: 374,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,234 : 655,661.46 = 271,138.30 : x
  2. Step 2: Convert to fraction form
    475,234/655,661.46 = 271,138.30/x
  3. Step 3: Cross multiply
    475,234x = 655,661.46 × 271,138.30
  4. Step 4: Simplify right side
    475,234x = 177,774,933,639.92
  5. Step 5: Solve for x
    x = 177,774,933,639.92/475,234
  6. Step 6: Final answer
    x = 374,078.74

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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.