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Finding the Fourth Proportional to 340,295.62, 510,759.20 and 171,934.22

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Solution

The fourth proportional to 340,295.62, 510,759.20 and 171,934.22 is: 258,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,295.62 : 510,759.20 = 171,934.22 : x
  2. Step 2: Convert to fraction form
    340,295.62/510,759.20 = 171,934.22/x
  3. Step 3: Cross multiply
    340,295.62x = 510,759.20 × 171,934.22
  4. Step 4: Simplify right side
    340,295.62x = 87,816,984,659.82
  5. Step 5: Solve for x
    x = 87,816,984,659.82/340,295.62
  6. Step 6: Final answer
    x = 258,060.87

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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.