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Finding the Fourth Proportional to 511,944.76, 706,434.72 and 285,604.84

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Solution

The fourth proportional to 511,944.76, 706,434.72 and 285,604.84 is: 394,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,944.76 : 706,434.72 = 285,604.84 : x
  2. Step 2: Convert to fraction form
    511,944.76/706,434.72 = 285,604.84/x
  3. Step 3: Cross multiply
    511,944.76x = 706,434.72 × 285,604.84
  4. Step 4: Simplify right side
    511,944.76x = 201,761,175,176.05
  5. Step 5: Solve for x
    x = 201,761,175,176.05/511,944.76
  6. Step 6: Final answer
    x = 394,107.32

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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.