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Finding the Fourth Proportional to 271,401.30, 407,101.95 and 171,674.10

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Solution

The fourth proportional to 271,401.30, 407,101.95 and 171,674.10 is: 257,511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,401.30 : 407,101.95 = 171,674.10 : x
  2. Step 2: Convert to fraction form
    271,401.30/407,101.95 = 171,674.10/x
  3. Step 3: Cross multiply
    271,401.30x = 407,101.95 × 171,674.10
  4. Step 4: Simplify right side
    271,401.30x = 69,888,860,874.50
  5. Step 5: Solve for x
    x = 69,888,860,874.50/271,401.30
  6. Step 6: Final answer
    x = 257,511.15

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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.