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Finding the Fourth Proportional to 712,216.14, 982,912.83 and 406,299.27

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Solution

The fourth proportional to 712,216.14, 982,912.83 and 406,299.27 is: 560,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,216.14 : 982,912.83 = 406,299.27 : x
  2. Step 2: Convert to fraction form
    712,216.14/982,912.83 = 406,299.27/x
  3. Step 3: Cross multiply
    712,216.14x = 982,912.83 × 406,299.27
  4. Step 4: Simplify right side
    712,216.14x = 399,356,765,302.63
  5. Step 5: Solve for x
    x = 399,356,765,302.63/712,216.14
  6. Step 6: Final answer
    x = 560,724.12

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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.