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Finding the Fourth Proportional to 713,736.67, 1,070,266.01 and 414,309.04

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Solution

The fourth proportional to 713,736.67, 1,070,266.01 and 414,309.04 is: 621,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,736.67 : 1,070,266.01 = 414,309.04 : x
  2. Step 2: Convert to fraction form
    713,736.67/1,070,266.01 = 414,309.04/x
  3. Step 3: Cross multiply
    713,736.67x = 1,070,266.01 × 414,309.04
  4. Step 4: Simplify right side
    713,736.67x = 443,420,883,147.73
  5. Step 5: Solve for x
    x = 443,420,883,147.73/713,736.67
  6. Step 6: Final answer
    x = 621,266.78

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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.