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Finding the Fourth Proportional to 712,166.57, 982,883.42 and 406,172.81

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Solution

The fourth proportional to 712,166.57, 982,883.42 and 406,172.81 is: 560,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,166.57 : 982,883.42 = 406,172.81 : x
  2. Step 2: Convert to fraction form
    712,166.57/982,883.42 = 406,172.81/x
  3. Step 3: Cross multiply
    712,166.57x = 982,883.42 × 406,172.81
  4. Step 4: Simplify right side
    712,166.57x = 399,220,520,603.81
  5. Step 5: Solve for x
    x = 399,220,520,603.81/712,166.57
  6. Step 6: Final answer
    x = 560,571.83

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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.