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Finding the Fourth Proportional to 329,698.14, 494,586.87 and 116,422.17

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Solution

The fourth proportional to 329,698.14, 494,586.87 and 116,422.17 is: 174,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,698.14 : 494,586.87 = 116,422.17 : x
  2. Step 2: Convert to fraction form
    329,698.14/494,586.87 = 116,422.17/x
  3. Step 3: Cross multiply
    329,698.14x = 494,586.87 × 116,422.17
  4. Step 4: Simplify right side
    329,698.14x = 57,580,876,658.91
  5. Step 5: Solve for x
    x = 57,580,876,658.91/329,698.14
  6. Step 6: Final answer
    x = 174,647.26

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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.