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Finding the Fourth Proportional to 275,822.67, 413,817.03 and 98,306.58

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Solution

The fourth proportional to 275,822.67, 413,817.03 and 98,306.58 is: 147,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,822.67 : 413,817.03 = 98,306.58 : x
  2. Step 2: Convert to fraction form
    275,822.67/413,817.03 = 98,306.58/x
  3. Step 3: Cross multiply
    275,822.67x = 413,817.03 × 98,306.58
  4. Step 4: Simplify right side
    275,822.67x = 40,680,936,965.06
  5. Step 5: Solve for x
    x = 40,680,936,965.06/275,822.67
  6. Step 6: Final answer
    x = 147,489.46

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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.