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Finding the Fourth Proportional to 271,416.20, 406,927.47 and 182,449.04

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Solution

The fourth proportional to 271,416.20, 406,927.47 and 182,449.04 is: 273,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,416.20 : 406,927.47 = 182,449.04 : x
  2. Step 2: Convert to fraction form
    271,416.20/406,927.47 = 182,449.04/x
  3. Step 3: Cross multiply
    271,416.20x = 406,927.47 × 182,449.04
  4. Step 4: Simplify right side
    271,416.20x = 74,243,526,251.13
  5. Step 5: Solve for x
    x = 74,243,526,251.13/271,416.20
  6. Step 6: Final answer
    x = 273,541.25

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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.