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Finding the Fourth Proportional to 342,817.92, 514,019.52 and 231,672.96

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Solution

The fourth proportional to 342,817.92, 514,019.52 and 231,672.96 is: 347,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,817.92 : 514,019.52 = 231,672.96 : x
  2. Step 2: Convert to fraction form
    342,817.92/514,019.52 = 231,672.96/x
  3. Step 3: Cross multiply
    342,817.92x = 514,019.52 × 231,672.96
  4. Step 4: Simplify right side
    342,817.92x = 119,084,423,696.18
  5. Step 5: Solve for x
    x = 119,084,423,696.18/342,817.92
  6. Step 6: Final answer
    x = 347,369.31

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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.