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Finding the Fourth Proportional to 271,978.40, 407,551.80 and 182,902.16

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Solution

The fourth proportional to 271,978.40, 407,551.80 and 182,902.16 is: 274,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,978.40 : 407,551.80 = 182,902.16 : x
  2. Step 2: Convert to fraction form
    271,978.40/407,551.80 = 182,902.16/x
  3. Step 3: Cross multiply
    271,978.40x = 407,551.80 × 182,902.16
  4. Step 4: Simplify right side
    271,978.40x = 74,542,104,531.89
  5. Step 5: Solve for x
    x = 74,542,104,531.89/271,978.40
  6. Step 6: Final answer
    x = 274,073.62

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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.