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Finding the Fourth Proportional to 329,464.40, 494,743.17 and 205,592.72

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Solution

The fourth proportional to 329,464.40, 494,743.17 and 205,592.72 is: 308,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,464.40 : 494,743.17 = 205,592.72 : x
  2. Step 2: Convert to fraction form
    329,464.40/494,743.17 = 205,592.72/x
  3. Step 3: Cross multiply
    329,464.40x = 494,743.17 × 205,592.72
  4. Step 4: Simplify right side
    329,464.40x = 101,715,594,021.72
  5. Step 5: Solve for x
    x = 101,715,594,021.72/329,464.40
  6. Step 6: Final answer
    x = 308,730.15

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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.