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Finding the Fourth Proportional to 462,005.62, 637,578.21 and 271,156.66

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Solution

The fourth proportional to 462,005.62, 637,578.21 and 271,156.66 is: 374,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,005.62 : 637,578.21 = 271,156.66 : x
  2. Step 2: Convert to fraction form
    462,005.62/637,578.21 = 271,156.66/x
  3. Step 3: Cross multiply
    462,005.62x = 637,578.21 × 271,156.66
  4. Step 4: Simplify right side
    462,005.62x = 172,883,577,912.38
  5. Step 5: Solve for x
    x = 172,883,577,912.38/462,005.62
  6. Step 6: Final answer
    x = 374,202.33

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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.