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Finding the Fourth Proportional to 274,406.61, 411,609.93 and 180,890.49

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Solution

The fourth proportional to 274,406.61, 411,609.93 and 180,890.49 is: 271,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,406.61 : 411,609.93 = 180,890.49 : x
  2. Step 2: Convert to fraction form
    274,406.61/411,609.93 = 180,890.49/x
  3. Step 3: Cross multiply
    274,406.61x = 411,609.93 × 180,890.49
  4. Step 4: Simplify right side
    274,406.61x = 74,456,321,926.57
  5. Step 5: Solve for x
    x = 74,456,321,926.57/274,406.61
  6. Step 6: Final answer
    x = 271,335.74

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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.