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Finding the Fourth Proportional to 599,789.76, 827,173.89 and 497,653.48

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Solution

The fourth proportional to 599,789.76, 827,173.89 and 497,653.48 is: 686,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,789.76 : 827,173.89 = 497,653.48 : x
  2. Step 2: Convert to fraction form
    599,789.76/827,173.89 = 497,653.48/x
  3. Step 3: Cross multiply
    599,789.76x = 827,173.89 × 497,653.48
  4. Step 4: Simplify right side
    599,789.76x = 411,645,964,923.64
  5. Step 5: Solve for x
    x = 411,645,964,923.64/599,789.76
  6. Step 6: Final answer
    x = 686,317.09

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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.