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Finding the Fourth Proportional to 340,294.62, 510,757.70 and 171,933.22

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Solution

The fourth proportional to 340,294.62, 510,757.70 and 171,933.22 is: 258,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,294.62 : 510,757.70 = 171,933.22 : x
  2. Step 2: Convert to fraction form
    340,294.62/510,757.70 = 171,933.22/x
  3. Step 3: Cross multiply
    340,294.62x = 510,757.70 × 171,933.22
  4. Step 4: Simplify right side
    340,294.62x = 87,816,216,000.79
  5. Step 5: Solve for x
    x = 87,816,216,000.79/340,294.62
  6. Step 6: Final answer
    x = 258,059.37

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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.