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Finding the Fourth Proportional to 739,962, 1,109,943 and 241,326

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Solution

The fourth proportional to 739,962, 1,109,943 and 241,326 is: 361,989

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,962 : 1,109,943 = 241,326 : x
  2. Step 2: Convert to fraction form
    739,962/1,109,943 = 241,326/x
  3. Step 3: Cross multiply
    739,962x = 1,109,943 × 241,326
  4. Step 4: Simplify right side
    739,962x = 267,858,104,418
  5. Step 5: Solve for x
    x = 267,858,104,418/739,962
  6. Step 6: Final answer
    x = 361,989

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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.