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Finding the Fourth Proportional to 322,502.48, 445,042.21 and 207,785.96

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Solution

The fourth proportional to 322,502.48, 445,042.21 and 207,785.96 is: 286,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,502.48 : 445,042.21 = 207,785.96 : x
  2. Step 2: Convert to fraction form
    322,502.48/445,042.21 = 207,785.96/x
  3. Step 3: Cross multiply
    322,502.48x = 445,042.21 × 207,785.96
  4. Step 4: Simplify right side
    322,502.48x = 92,473,520,620.16
  5. Step 5: Solve for x
    x = 92,473,520,620.16/322,502.48
  6. Step 6: Final answer
    x = 286,737.39

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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.