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Finding the Fourth Proportional to 264,689.40, 397,190.34 and 104,781

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Solution

The fourth proportional to 264,689.40, 397,190.34 and 104,781 is: 157,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,689.40 : 397,190.34 = 104,781 : x
  2. Step 2: Convert to fraction form
    264,689.40/397,190.34 = 104,781/x
  3. Step 3: Cross multiply
    264,689.40x = 397,190.34 × 104,781
  4. Step 4: Simplify right side
    264,689.40x = 41,618,001,015.54
  5. Step 5: Solve for x
    x = 41,618,001,015.54/264,689.40
  6. Step 6: Final answer
    x = 157,233.35

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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.