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Finding the Fourth Proportional to 271,941.40, 407,912.10 and 172,214.20

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Solution

The fourth proportional to 271,941.40, 407,912.10 and 172,214.20 is: 258,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,941.40 : 407,912.10 = 172,214.20 : x
  2. Step 2: Convert to fraction form
    271,941.40/407,912.10 = 172,214.20/x
  3. Step 3: Cross multiply
    271,941.40x = 407,912.10 × 172,214.20
  4. Step 4: Simplify right side
    271,941.40x = 70,248,255,971.82
  5. Step 5: Solve for x
    x = 70,248,255,971.82/271,941.40
  6. Step 6: Final answer
    x = 258,321.30

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1.5x scale

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.