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Finding the Fourth Proportional to 442,709.44, 610,937.76 and 241,504

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Solution

The fourth proportional to 442,709.44, 610,937.76 and 241,504 is: 333,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,709.44 : 610,937.76 = 241,504 : x
  2. Step 2: Convert to fraction form
    442,709.44/610,937.76 = 241,504/x
  3. Step 3: Cross multiply
    442,709.44x = 610,937.76 × 241,504
  4. Step 4: Simplify right side
    442,709.44x = 147,543,912,791.04
  5. Step 5: Solve for x
    x = 147,543,912,791.04/442,709.44
  6. Step 6: Final answer
    x = 333,274.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.