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Finding the Fourth Proportional to 422,337.27, 633,714.09 and 197,712.93

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Solution

The fourth proportional to 422,337.27, 633,714.09 and 197,712.93 is: 296,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,337.27 : 633,714.09 = 197,712.93 : x
  2. Step 2: Convert to fraction form
    422,337.27/633,714.09 = 197,712.93/x
  3. Step 3: Cross multiply
    422,337.27x = 633,714.09 × 197,712.93
  4. Step 4: Simplify right side
    422,337.27x = 125,293,469,516.18
  5. Step 5: Solve for x
    x = 125,293,469,516.18/422,337.27
  6. Step 6: Final answer
    x = 296,666.85

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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.