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Finding the Fourth Proportional to 271,272.40, 406,908.60 and 177,832.40

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Solution

The fourth proportional to 271,272.40, 406,908.60 and 177,832.40 is: 266,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,272.40 : 406,908.60 = 177,832.40 : x
  2. Step 2: Convert to fraction form
    271,272.40/406,908.60 = 177,832.40/x
  3. Step 3: Cross multiply
    271,272.40x = 406,908.60 × 177,832.40
  4. Step 4: Simplify right side
    271,272.40x = 72,361,532,918.64
  5. Step 5: Solve for x
    x = 72,361,532,918.64/271,272.40
  6. Step 6: Final answer
    x = 266,748.60

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