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Finding the Fourth Proportional to 342,913.92, 514,163.52 and 231,768.96

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Solution

The fourth proportional to 342,913.92, 514,163.52 and 231,768.96 is: 347,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,913.92 : 514,163.52 = 231,768.96 : x
  2. Step 2: Convert to fraction form
    342,913.92/514,163.52 = 231,768.96/x
  3. Step 3: Cross multiply
    342,913.92x = 514,163.52 × 231,768.96
  4. Step 4: Simplify right side
    342,913.92x = 119,167,144,300.34
  5. Step 5: Solve for x
    x = 119,167,144,300.34/342,913.92
  6. Step 6: Final answer
    x = 347,513.29

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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.