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Finding the Fourth Proportional to 516,022, 773,834.16 and 200,437.36

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Solution

The fourth proportional to 516,022, 773,834.16 and 200,437.36 is: 300,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,022 : 773,834.16 = 200,437.36 : x
  2. Step 2: Convert to fraction form
    516,022/773,834.16 = 200,437.36/x
  3. Step 3: Cross multiply
    516,022x = 773,834.16 × 200,437.36
  4. Step 4: Simplify right side
    516,022x = 155,105,276,108.22
  5. Step 5: Solve for x
    x = 155,105,276,108.22/516,022
  6. Step 6: Final answer
    x = 300,578.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.