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Finding the Fourth Proportional to 461,211.30, 692,108.55 and 271,671.30

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Solution

The fourth proportional to 461,211.30, 692,108.55 and 271,671.30 is: 407,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,211.30 : 692,108.55 = 271,671.30 : x
  2. Step 2: Convert to fraction form
    461,211.30/692,108.55 = 271,671.30/x
  3. Step 3: Cross multiply
    461,211.30x = 692,108.55 × 271,671.30
  4. Step 4: Simplify right side
    461,211.30x = 188,026,029,519.62
  5. Step 5: Solve for x
    x = 188,026,029,519.62/461,211.30
  6. Step 6: Final answer
    x = 407,678.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.