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Finding the Fourth Proportional to 511,866.96, 706,431.24 and 285,591.12

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Solution

The fourth proportional to 511,866.96, 706,431.24 and 285,591.12 is: 394,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,866.96 : 706,431.24 = 285,591.12 : x
  2. Step 2: Convert to fraction form
    511,866.96/706,431.24 = 285,591.12/x
  3. Step 3: Cross multiply
    511,866.96x = 706,431.24 × 285,591.12
  4. Step 4: Simplify right side
    511,866.96x = 201,750,489,034.59
  5. Step 5: Solve for x
    x = 201,750,489,034.59/511,866.96
  6. Step 6: Final answer
    x = 394,146.34

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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.