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Finding the Fourth Proportional to 471,700.62, 707,379.62 and 205,396.92

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Solution

The fourth proportional to 471,700.62, 707,379.62 and 205,396.92 is: 308,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,700.62 : 707,379.62 = 205,396.92 : x
  2. Step 2: Convert to fraction form
    471,700.62/707,379.62 = 205,396.92/x
  3. Step 3: Cross multiply
    471,700.62x = 707,379.62 × 205,396.92
  4. Step 4: Simplify right side
    471,700.62x = 145,293,594,191.79
  5. Step 5: Solve for x
    x = 145,293,594,191.79/471,700.62
  6. Step 6: Final answer
    x = 308,020.78

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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.