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Finding the Fourth Proportional to 511,857, 706,589.16 and 330,657.28

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Solution

The fourth proportional to 511,857, 706,589.16 and 330,657.28 is: 456,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,857 : 706,589.16 = 330,657.28 : x
  2. Step 2: Convert to fraction form
    511,857/706,589.16 = 330,657.28/x
  3. Step 3: Cross multiply
    511,857x = 706,589.16 × 330,657.28
  4. Step 4: Simplify right side
    511,857x = 233,638,849,723.09
  5. Step 5: Solve for x
    x = 233,638,849,723.09/511,857
  6. Step 6: Final answer
    x = 456,453.36

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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.