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Finding the Fourth Proportional to 804,735, 1,207,251.18 and 265,021.56

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Solution

The fourth proportional to 804,735, 1,207,251.18 and 265,021.56 is: 397,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,735 : 1,207,251.18 = 265,021.56 : x
  2. Step 2: Convert to fraction form
    804,735/1,207,251.18 = 265,021.56/x
  3. Step 3: Cross multiply
    804,735x = 1,207,251.18 × 265,021.56
  4. Step 4: Simplify right side
    804,735x = 319,947,591,035.44
  5. Step 5: Solve for x
    x = 319,947,591,035.44/804,735
  6. Step 6: Final answer
    x = 397,581.30

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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.