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Finding the Fourth Proportional to 392,352.56, 586,999.22 and 343,936.83

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Solution

The fourth proportional to 392,352.56, 586,999.22 and 343,936.83 is: 514,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,352.56 : 586,999.22 = 343,936.83 : x
  2. Step 2: Convert to fraction form
    392,352.56/586,999.22 = 343,936.83/x
  3. Step 3: Cross multiply
    392,352.56x = 586,999.22 × 343,936.83
  4. Step 4: Simplify right side
    392,352.56x = 201,890,651,020.93
  5. Step 5: Solve for x
    x = 201,890,651,020.93/392,352.56
  6. Step 6: Final answer
    x = 514,564.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.