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Finding the Fourth Proportional to 293,305, 404,760.90 and 159,169

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Solution

The fourth proportional to 293,305, 404,760.90 and 159,169 is: 219,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,305 : 404,760.90 = 159,169 : x
  2. Step 2: Convert to fraction form
    293,305/404,760.90 = 159,169/x
  3. Step 3: Cross multiply
    293,305x = 404,760.90 × 159,169
  4. Step 4: Simplify right side
    293,305x = 64,425,387,692.10
  5. Step 5: Solve for x
    x = 64,425,387,692.10/293,305
  6. Step 6: Final answer
    x = 219,653.22

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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.