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Finding the Fourth Proportional to 511,685.82, 706,114.08 and 282,238.20

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Solution

The fourth proportional to 511,685.82, 706,114.08 and 282,238.20 is: 389,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,685.82 : 706,114.08 = 282,238.20 : x
  2. Step 2: Convert to fraction form
    511,685.82/706,114.08 = 282,238.20/x
  3. Step 3: Cross multiply
    511,685.82x = 706,114.08 × 282,238.20
  4. Step 4: Simplify right side
    511,685.82x = 199,292,366,933.86
  5. Step 5: Solve for x
    x = 199,292,366,933.86/511,685.82
  6. Step 6: Final answer
    x = 389,481.90

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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.