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Finding the Fourth Proportional to 733,322, 1,012,024.20 and 411,135.44

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Solution

The fourth proportional to 733,322, 1,012,024.20 and 411,135.44 is: 567,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,322 : 1,012,024.20 = 411,135.44 : x
  2. Step 2: Convert to fraction form
    733,322/1,012,024.20 = 411,135.44/x
  3. Step 3: Cross multiply
    733,322x = 1,012,024.20 × 411,135.44
  4. Step 4: Simplify right side
    733,322x = 416,079,014,757.65
  5. Step 5: Solve for x
    x = 416,079,014,757.65/733,322
  6. Step 6: Final answer
    x = 567,389.24

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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.