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Finding the Fourth Proportional to 312,878.48, 431,740.32 and 192,024.86

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Solution

The fourth proportional to 312,878.48, 431,740.32 and 192,024.86 is: 264,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,878.48 : 431,740.32 = 192,024.86 : x
  2. Step 2: Convert to fraction form
    312,878.48/431,740.32 = 192,024.86/x
  3. Step 3: Cross multiply
    312,878.48x = 431,740.32 × 192,024.86
  4. Step 4: Simplify right side
    312,878.48x = 82,904,874,504.36
  5. Step 5: Solve for x
    x = 82,904,874,504.36/312,878.48
  6. Step 6: Final answer
    x = 264,974.68

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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.