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Finding the Fourth Proportional to 293,463, 404,980.56 and 159,327

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Solution

The fourth proportional to 293,463, 404,980.56 and 159,327 is: 219,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,463 : 404,980.56 = 159,327 : x
  2. Step 2: Convert to fraction form
    293,463/404,980.56 = 159,327/x
  3. Step 3: Cross multiply
    293,463x = 404,980.56 × 159,327
  4. Step 4: Simplify right side
    293,463x = 64,524,337,683.12
  5. Step 5: Solve for x
    x = 64,524,337,683.12/293,463
  6. Step 6: Final answer
    x = 219,872.14

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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.