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Finding the Fourth Proportional to 275,489.40, 413,234.10 and 98,196.60

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Solution

The fourth proportional to 275,489.40, 413,234.10 and 98,196.60 is: 147,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,489.40 : 413,234.10 = 98,196.60 : x
  2. Step 2: Convert to fraction form
    275,489.40/413,234.10 = 98,196.60/x
  3. Step 3: Cross multiply
    275,489.40x = 413,234.10 × 98,196.60
  4. Step 4: Simplify right side
    275,489.40x = 40,578,183,624.06
  5. Step 5: Solve for x
    x = 40,578,183,624.06/275,489.40
  6. Step 6: Final answer
    x = 147,294.90

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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.