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Finding the Fourth Proportional to 293,301, 404,755.38 and 159,165

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Solution

The fourth proportional to 293,301, 404,755.38 and 159,165 is: 219,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,301 : 404,755.38 = 159,165 : x
  2. Step 2: Convert to fraction form
    293,301/404,755.38 = 159,165/x
  3. Step 3: Cross multiply
    293,301x = 404,755.38 × 159,165
  4. Step 4: Simplify right side
    293,301x = 64,422,890,057.70
  5. Step 5: Solve for x
    x = 64,422,890,057.70/293,301
  6. Step 6: Final answer
    x = 219,647.70

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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.