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Finding the Fourth Proportional to 511,101.64, 705,321.38 and 284,755.24

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Solution

The fourth proportional to 511,101.64, 705,321.38 and 284,755.24 is: 392,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,101.64 : 705,321.38 = 284,755.24 : x
  2. Step 2: Convert to fraction form
    511,101.64/705,321.38 = 284,755.24/x
  3. Step 3: Cross multiply
    511,101.64x = 705,321.38 × 284,755.24
  4. Step 4: Simplify right side
    511,101.64x = 200,843,958,839.03
  5. Step 5: Solve for x
    x = 200,843,958,839.03/511,101.64
  6. Step 6: Final answer
    x = 392,962.85

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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.