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Finding the Fourth Proportional to 330,006, 494,841.72 and 161,274.08

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Solution

The fourth proportional to 330,006, 494,841.72 and 161,274.08 is: 241,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,006 : 494,841.72 = 161,274.08 : x
  2. Step 2: Convert to fraction form
    330,006/494,841.72 = 161,274.08/x
  3. Step 3: Cross multiply
    330,006x = 494,841.72 × 161,274.08
  4. Step 4: Simplify right side
    330,006x = 79,805,143,138.62
  5. Step 5: Solve for x
    x = 79,805,143,138.62/330,006
  6. Step 6: Final answer
    x = 241,829.37

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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.