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Finding the Fourth Proportional to 496,042.92, 684,535.86 and 269,688.42

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Solution

The fourth proportional to 496,042.92, 684,535.86 and 269,688.42 is: 372,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,042.92 : 684,535.86 = 269,688.42 : x
  2. Step 2: Convert to fraction form
    496,042.92/684,535.86 = 269,688.42/x
  3. Step 3: Cross multiply
    496,042.92x = 684,535.86 × 269,688.42
  4. Step 4: Simplify right side
    496,042.92x = 184,611,394,516.74
  5. Step 5: Solve for x
    x = 184,611,394,516.74/496,042.92
  6. Step 6: Final answer
    x = 372,168.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.