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Finding the Fourth Proportional to 293,314, 404,778.18 and 159,178

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Solution

The fourth proportional to 293,314, 404,778.18 and 159,178 is: 219,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,314 : 404,778.18 = 159,178 : x
  2. Step 2: Convert to fraction form
    293,314/404,778.18 = 159,178/x
  3. Step 3: Cross multiply
    293,314x = 404,778.18 × 159,178
  4. Step 4: Simplify right side
    293,314x = 64,431,781,136.04
  5. Step 5: Solve for x
    x = 64,431,781,136.04/293,314
  6. Step 6: Final answer
    x = 219,668.28

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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.