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Finding the Fourth Proportional to 823,909.20, 1,155,961.20 and 823,909.20

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Solution

The fourth proportional to 823,909.20, 1,155,961.20 and 823,909.20 is: 1,155,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,909.20 : 1,155,961.20 = 823,909.20 : x
  2. Step 2: Convert to fraction form
    823,909.20/1,155,961.20 = 823,909.20/x
  3. Step 3: Cross multiply
    823,909.20x = 1,155,961.20 × 823,909.20
  4. Step 4: Simplify right side
    823,909.20x = 952,407,067,523.04
  5. Step 5: Solve for x
    x = 952,407,067,523.04/823,909.20
  6. Step 6: Final answer
    x = 1,155,961.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.