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Finding the Fourth Proportional to 739,963, 1,109,944.50 and 241,327

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Solution

The fourth proportional to 739,963, 1,109,944.50 and 241,327 is: 361,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,963 : 1,109,944.50 = 241,327 : x
  2. Step 2: Convert to fraction form
    739,963/1,109,944.50 = 241,327/x
  3. Step 3: Cross multiply
    739,963x = 1,109,944.50 × 241,327
  4. Step 4: Simplify right side
    739,963x = 267,859,576,351.50
  5. Step 5: Solve for x
    x = 267,859,576,351.50/739,963
  6. Step 6: Final answer
    x = 361,990.50

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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.