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Finding the Fourth Proportional to 475,218, 655,639.38 and 271,122.30

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Solution

The fourth proportional to 475,218, 655,639.38 and 271,122.30 is: 374,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,218 : 655,639.38 = 271,122.30 : x
  2. Step 2: Convert to fraction form
    475,218/655,639.38 = 271,122.30/x
  3. Step 3: Cross multiply
    475,218x = 655,639.38 × 271,122.30
  4. Step 4: Simplify right side
    475,218x = 177,758,456,676.17
  5. Step 5: Solve for x
    x = 177,758,456,676.17/475,218
  6. Step 6: Final answer
    x = 374,056.66

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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.