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Finding the Fourth Proportional to 733,508.74, 1,012,241.37 and 411,218.90

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Solution

The fourth proportional to 733,508.74, 1,012,241.37 and 411,218.90 is: 567,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,508.74 : 1,012,241.37 = 411,218.90 : x
  2. Step 2: Convert to fraction form
    733,508.74/1,012,241.37 = 411,218.90/x
  3. Step 3: Cross multiply
    733,508.74x = 1,012,241.37 × 411,218.90
  4. Step 4: Simplify right side
    733,508.74x = 416,252,780,649.80
  5. Step 5: Solve for x
    x = 416,252,780,649.80/733,508.74
  6. Step 6: Final answer
    x = 567,481.70

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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.