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Finding the Fourth Proportional to 271,440.30, 406,546.05 and 160,848.30

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Solution

The fourth proportional to 271,440.30, 406,546.05 and 160,848.30 is: 240,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,440.30 : 406,546.05 = 160,848.30 : x
  2. Step 2: Convert to fraction form
    271,440.30/406,546.05 = 160,848.30/x
  3. Step 3: Cross multiply
    271,440.30x = 406,546.05 × 160,848.30
  4. Step 4: Simplify right side
    271,440.30x = 65,392,241,014.22
  5. Step 5: Solve for x
    x = 65,392,241,014.22/271,440.30
  6. Step 6: Final answer
    x = 240,908.37

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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.