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Finding the Fourth Proportional to 599,714.20, 827,069.67 and 497,577.88

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Solution

The fourth proportional to 599,714.20, 827,069.67 and 497,577.88 is: 686,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,714.20 : 827,069.67 = 497,577.88 : x
  2. Step 2: Convert to fraction form
    599,714.20/827,069.67 = 497,577.88/x
  3. Step 3: Cross multiply
    599,714.20x = 827,069.67 × 497,577.88
  4. Step 4: Simplify right side
    599,714.20x = 411,531,573,010.90
  5. Step 5: Solve for x
    x = 411,531,573,010.90/599,714.20
  6. Step 6: Final answer
    x = 686,212.82

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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.