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Finding the Fourth Proportional to 274,304.44, 411,489.54 and 96,774.76

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Solution

The fourth proportional to 274,304.44, 411,489.54 and 96,774.76 is: 145,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,304.44 : 411,489.54 = 96,774.76 : x
  2. Step 2: Convert to fraction form
    274,304.44/411,489.54 = 96,774.76/x
  3. Step 3: Cross multiply
    274,304.44x = 411,489.54 × 96,774.76
  4. Step 4: Simplify right side
    274,304.44x = 39,821,801,476.01
  5. Step 5: Solve for x
    x = 39,821,801,476.01/274,304.44
  6. Step 6: Final answer
    x = 145,173.74

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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.