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Finding the Fourth Proportional to 516,198.90, 712,229.85 and 301,216.26

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Solution

The fourth proportional to 516,198.90, 712,229.85 and 301,216.26 is: 415,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,198.90 : 712,229.85 = 301,216.26 : x
  2. Step 2: Convert to fraction form
    516,198.90/712,229.85 = 301,216.26/x
  3. Step 3: Cross multiply
    516,198.90x = 712,229.85 × 301,216.26
  4. Step 4: Simplify right side
    516,198.90x = 214,535,211,677.36
  5. Step 5: Solve for x
    x = 214,535,211,677.36/516,198.90
  6. Step 6: Final answer
    x = 415,605.71

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