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Finding the Fourth Proportional to 298,260.68, 411,606.77 and 169,207.85

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Solution

The fourth proportional to 298,260.68, 411,606.77 and 169,207.85 is: 233,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,260.68 : 411,606.77 = 169,207.85 : x
  2. Step 2: Convert to fraction form
    298,260.68/411,606.77 = 169,207.85/x
  3. Step 3: Cross multiply
    298,260.68x = 411,606.77 × 169,207.85
  4. Step 4: Simplify right side
    298,260.68x = 69,647,096,780.12
  5. Step 5: Solve for x
    x = 69,647,096,780.12/298,260.68
  6. Step 6: Final answer
    x = 233,510.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.