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Finding the Fourth Proportional to 511,846.62, 706,346.36 and 282,418.20

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Solution

The fourth proportional to 511,846.62, 706,346.36 and 282,418.20 is: 389,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,846.62 : 706,346.36 = 282,418.20 : x
  2. Step 2: Convert to fraction form
    511,846.62/706,346.36 = 282,418.20/x
  3. Step 3: Cross multiply
    511,846.62x = 706,346.36 × 282,418.20
  4. Step 4: Simplify right side
    511,846.62x = 199,485,067,567.75
  5. Step 5: Solve for x
    x = 199,485,067,567.75/511,846.62
  6. Step 6: Final answer
    x = 389,736.03

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1.5x scale

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.