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Finding the Fourth Proportional to 733,932, 1,012,829.74 and 411,659.30

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Solution

The fourth proportional to 733,932, 1,012,829.74 and 411,659.30 is: 568,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,932 : 1,012,829.74 = 411,659.30 : x
  2. Step 2: Convert to fraction form
    733,932/1,012,829.74 = 411,659.30/x
  3. Step 3: Cross multiply
    733,932x = 1,012,829.74 × 411,659.30
  4. Step 4: Simplify right side
    733,932x = 416,940,781,787.58
  5. Step 5: Solve for x
    x = 416,940,781,787.58/733,932
  6. Step 6: Final answer
    x = 568,091.84

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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.