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Finding the Fourth Proportional to 339,231, 508,905.17 and 114,593.07

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Solution

The fourth proportional to 339,231, 508,905.17 and 114,593.07 is: 171,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,231 : 508,905.17 = 114,593.07 : x
  2. Step 2: Convert to fraction form
    339,231/508,905.17 = 114,593.07/x
  3. Step 3: Cross multiply
    339,231x = 508,905.17 × 114,593.07
  4. Step 4: Simplify right side
    339,231x = 58,317,005,769.17
  5. Step 5: Solve for x
    x = 58,317,005,769.17/339,231
  6. Step 6: Final answer
    x = 171,909.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.