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Finding the Fourth Proportional to 274,304.20, 411,456.30 and 96,809.80

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Solution

The fourth proportional to 274,304.20, 411,456.30 and 96,809.80 is: 145,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,304.20 : 411,456.30 = 96,809.80 : x
  2. Step 2: Convert to fraction form
    274,304.20/411,456.30 = 96,809.80/x
  3. Step 3: Cross multiply
    274,304.20x = 411,456.30 × 96,809.80
  4. Step 4: Simplify right side
    274,304.20x = 39,833,002,111.74
  5. Step 5: Solve for x
    x = 39,833,002,111.74/274,304.20
  6. Step 6: Final answer
    x = 145,214.70

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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.