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Finding the Fourth Proportional to 271,484.40, 408,101.40 and 193,141.20

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Solution

The fourth proportional to 271,484.40, 408,101.40 and 193,141.20 is: 290,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,484.40 : 408,101.40 = 193,141.20 : x
  2. Step 2: Convert to fraction form
    271,484.40/408,101.40 = 193,141.20/x
  3. Step 3: Cross multiply
    271,484.40x = 408,101.40 × 193,141.20
  4. Step 4: Simplify right side
    271,484.40x = 78,821,194,117.68
  5. Step 5: Solve for x
    x = 78,821,194,117.68/271,484.40
  6. Step 6: Final answer
    x = 290,334.16

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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.