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Finding the Fourth Proportional to 1,196,922.87, 1,649,824.02 and 809,597.04

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Solution

The fourth proportional to 1,196,922.87, 1,649,824.02 and 809,597.04 is: 1,115,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,922.87 : 1,649,824.02 = 809,597.04 : x
  2. Step 2: Convert to fraction form
    1,196,922.87/1,649,824.02 = 809,597.04/x
  3. Step 3: Cross multiply
    1,196,922.87x = 1,649,824.02 × 809,597.04
  4. Step 4: Simplify right side
    1,196,922.87x = 1,335,692,643,112.90
  5. Step 5: Solve for x
    x = 1,335,692,643,112.90/1,196,922.87
  6. Step 6: Final answer
    x = 1,115,938.78

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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.