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Finding the Fourth Proportional to 462,958.29, 638,879.22 and 259,008.39

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Solution

The fourth proportional to 462,958.29, 638,879.22 and 259,008.39 is: 357,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,958.29 : 638,879.22 = 259,008.39 : x
  2. Step 2: Convert to fraction form
    462,958.29/638,879.22 = 259,008.39/x
  3. Step 3: Cross multiply
    462,958.29x = 638,879.22 × 259,008.39
  4. Step 4: Simplify right side
    462,958.29x = 165,475,078,176.66
  5. Step 5: Solve for x
    x = 165,475,078,176.66/462,958.29
  6. Step 6: Final answer
    x = 357,429.78

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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.