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Finding the Fourth Proportional to 511,933.64, 706,608.90 and 297,142.88

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Solution

The fourth proportional to 511,933.64, 706,608.90 and 297,142.88 is: 410,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,933.64 : 706,608.90 = 297,142.88 : x
  2. Step 2: Convert to fraction form
    511,933.64/706,608.90 = 297,142.88/x
  3. Step 3: Cross multiply
    511,933.64x = 706,608.90 × 297,142.88
  4. Step 4: Simplify right side
    511,933.64x = 209,963,800,046.59
  5. Step 5: Solve for x
    x = 209,963,800,046.59/511,933.64
  6. Step 6: Final answer
    x = 410,138.71

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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.