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Finding the Fourth Proportional to 509,651.69, 762,814.10 and 374,680.03

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Solution

The fourth proportional to 509,651.69, 762,814.10 and 374,680.03 is: 560,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,651.69 : 762,814.10 = 374,680.03 : x
  2. Step 2: Convert to fraction form
    509,651.69/762,814.10 = 374,680.03/x
  3. Step 3: Cross multiply
    509,651.69x = 762,814.10 × 374,680.03
  4. Step 4: Simplify right side
    509,651.69x = 285,811,204,184.95
  5. Step 5: Solve for x
    x = 285,811,204,184.95/509,651.69
  6. Step 6: Final answer
    x = 560,797.13

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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.