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Finding the Fourth Proportional to 588,105, 811,584.92 and 319,833

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Solution

The fourth proportional to 588,105, 811,584.92 and 319,833 is: 441,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,105 : 811,584.92 = 319,833 : x
  2. Step 2: Convert to fraction form
    588,105/811,584.92 = 319,833/x
  3. Step 3: Cross multiply
    588,105x = 811,584.92 × 319,833
  4. Step 4: Simplify right side
    588,105x = 259,571,639,718.36
  5. Step 5: Solve for x
    x = 259,571,639,718.36/588,105
  6. Step 6: Final answer
    x = 441,369.55

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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.